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Finding the Fourth Proportional to 9,797,569.84, 13,521,107.85 and 5,446,728.80

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Solution

The fourth proportional to 9,797,569.84, 13,521,107.85 and 5,446,728.80 is: 7,516,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,569.84 : 13,521,107.85 = 5,446,728.80 : x
  2. Step 2: Convert to fraction form
    9,797,569.84/13,521,107.85 = 5,446,728.80/x
  3. Step 3: Cross multiply
    9,797,569.84x = 13,521,107.85 × 5,446,728.80
  4. Step 4: Simplify right side
    9,797,569.84x = 73,645,807,534,501.08
  5. Step 5: Solve for x
    x = 73,645,807,534,501.08/9,797,569.84
  6. Step 6: Final answer
    x = 7,516,742.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.