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Finding the Fourth Proportional to 9,930.31, 13,702.96 and 5,454.07

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Solution

The fourth proportional to 9,930.31, 13,702.96 and 5,454.07 is: 7,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.31 : 13,702.96 = 5,454.07 : x
  2. Step 2: Convert to fraction form
    9,930.31/13,702.96 = 5,454.07/x
  3. Step 3: Cross multiply
    9,930.31x = 13,702.96 × 5,454.07
  4. Step 4: Simplify right side
    9,930.31x = 74,736,903.05
  5. Step 5: Solve for x
    x = 74,736,903.05/9,930.31
  6. Step 6: Final answer
    x = 7,526.14

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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.