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Finding the Fourth Proportional to 7,089.08, 9,782.98 and 3,902.29

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Solution

The fourth proportional to 7,089.08, 9,782.98 and 3,902.29 is: 5,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.08 : 9,782.98 = 3,902.29 : x
  2. Step 2: Convert to fraction form
    7,089.08/9,782.98 = 3,902.29/x
  3. Step 3: Cross multiply
    7,089.08x = 9,782.98 × 3,902.29
  4. Step 4: Simplify right side
    7,089.08x = 38,176,025.02
  5. Step 5: Solve for x
    x = 38,176,025.02/7,089.08
  6. Step 6: Final answer
    x = 5,385.19

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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.