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Finding the Fourth Proportional to 9,411.60, 14,117.05 and 3,171.48

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Solution

The fourth proportional to 9,411.60, 14,117.05 and 3,171.48 is: 4,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.60 : 14,117.05 = 3,171.48 : x
  2. Step 2: Convert to fraction form
    9,411.60/14,117.05 = 3,171.48/x
  3. Step 3: Cross multiply
    9,411.60x = 14,117.05 × 3,171.48
  4. Step 4: Simplify right side
    9,411.60x = 44,771,941.73
  5. Step 5: Solve for x
    x = 44,771,941.73/9,411.60
  6. Step 6: Final answer
    x = 4,757.10

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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.