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Finding the Fourth Proportional to 9,244.51, 13,862.32 and 6,472.50

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Solution

The fourth proportional to 9,244.51, 13,862.32 and 6,472.50 is: 9,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.51 : 13,862.32 = 6,472.50 : x
  2. Step 2: Convert to fraction form
    9,244.51/13,862.32 = 6,472.50/x
  3. Step 3: Cross multiply
    9,244.51x = 13,862.32 × 6,472.50
  4. Step 4: Simplify right side
    9,244.51x = 89,723,866.20
  5. Step 5: Solve for x
    x = 89,723,866.20/9,244.51
  6. Step 6: Final answer
    x = 9,705.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.