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Finding the Fourth Proportional to 9,032.04, 13,543.92 and 5,864.40

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Solution

The fourth proportional to 9,032.04, 13,543.92 and 5,864.40 is: 8,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.04 : 13,543.92 = 5,864.40 : x
  2. Step 2: Convert to fraction form
    9,032.04/13,543.92 = 5,864.40/x
  3. Step 3: Cross multiply
    9,032.04x = 13,543.92 × 5,864.40
  4. Step 4: Simplify right side
    9,032.04x = 79,426,964.45
  5. Step 5: Solve for x
    x = 79,426,964.45/9,032.04
  6. Step 6: Final answer
    x = 8,793.91

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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.