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Finding the Fourth Proportional to 9,929.49, 13,702.86 and 5,453.43

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Solution

The fourth proportional to 9,929.49, 13,702.86 and 5,453.43 is: 7,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.49 : 13,702.86 = 5,453.43 : x
  2. Step 2: Convert to fraction form
    9,929.49/13,702.86 = 5,453.43/x
  3. Step 3: Cross multiply
    9,929.49x = 13,702.86 × 5,453.43
  4. Step 4: Simplify right side
    9,929.49x = 74,727,587.81
  5. Step 5: Solve for x
    x = 74,727,587.81/9,929.49
  6. Step 6: Final answer
    x = 7,525.82

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