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Finding the Fourth Proportional to 9,929.16, 13,702.33 and 5,453

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Solution

The fourth proportional to 9,929.16, 13,702.33 and 5,453 is: 7,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.16 : 13,702.33 = 5,453 : x
  2. Step 2: Convert to fraction form
    9,929.16/13,702.33 = 5,453/x
  3. Step 3: Cross multiply
    9,929.16x = 13,702.33 × 5,453
  4. Step 4: Simplify right side
    9,929.16x = 74,718,802.08
  5. Step 5: Solve for x
    x = 74,718,802.08/9,929.16
  6. Step 6: Final answer
    x = 7,525.19

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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.