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Finding the Fourth Proportional to 9,177.60, 12,666.48 and 7,403.70

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Solution

The fourth proportional to 9,177.60, 12,666.48 and 7,403.70 is: 10,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.60 : 12,666.48 = 7,403.70 : x
  2. Step 2: Convert to fraction form
    9,177.60/12,666.48 = 7,403.70/x
  3. Step 3: Cross multiply
    9,177.60x = 12,666.48 × 7,403.70
  4. Step 4: Simplify right side
    9,177.60x = 93,778,817.98
  5. Step 5: Solve for x
    x = 93,778,817.98/9,177.60
  6. Step 6: Final answer
    x = 10,218.23

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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.