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Finding the Fourth Proportional to 9,032.57, 13,554.93 and 5,429.10

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Solution

The fourth proportional to 9,032.57, 13,554.93 and 5,429.10 is: 8,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.57 : 13,554.93 = 5,429.10 : x
  2. Step 2: Convert to fraction form
    9,032.57/13,554.93 = 5,429.10/x
  3. Step 3: Cross multiply
    9,032.57x = 13,554.93 × 5,429.10
  4. Step 4: Simplify right side
    9,032.57x = 73,591,070.46
  5. Step 5: Solve for x
    x = 73,591,070.46/9,032.57
  6. Step 6: Final answer
    x = 8,147.31

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