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Finding the Fourth Proportional to 9,709.36, 13,398.32 and 5,461

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Solution

The fourth proportional to 9,709.36, 13,398.32 and 5,461 is: 7,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.36 : 13,398.32 = 5,461 : x
  2. Step 2: Convert to fraction form
    9,709.36/13,398.32 = 5,461/x
  3. Step 3: Cross multiply
    9,709.36x = 13,398.32 × 5,461
  4. Step 4: Simplify right side
    9,709.36x = 73,168,225.52
  5. Step 5: Solve for x
    x = 73,168,225.52/9,709.36
  6. Step 6: Final answer
    x = 7,535.84

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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.