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Finding the Fourth Proportional to 7,176.48, 9,909.45 and 6,809.55

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Solution

The fourth proportional to 7,176.48, 9,909.45 and 6,809.55 is: 9,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.48 : 9,909.45 = 6,809.55 : x
  2. Step 2: Convert to fraction form
    7,176.48/9,909.45 = 6,809.55/x
  3. Step 3: Cross multiply
    7,176.48x = 9,909.45 × 6,809.55
  4. Step 4: Simplify right side
    7,176.48x = 67,478,895.25
  5. Step 5: Solve for x
    x = 67,478,895.25/7,176.48
  6. Step 6: Final answer
    x = 9,402.78

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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.