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Finding the Fourth Proportional to 9,660.60, 14,488.74 and 4,461.48

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Solution

The fourth proportional to 9,660.60, 14,488.74 and 4,461.48 is: 6,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.60 : 14,488.74 = 4,461.48 : x
  2. Step 2: Convert to fraction form
    9,660.60/14,488.74 = 4,461.48/x
  3. Step 3: Cross multiply
    9,660.60x = 14,488.74 × 4,461.48
  4. Step 4: Simplify right side
    9,660.60x = 64,641,223.74
  5. Step 5: Solve for x
    x = 64,641,223.74/9,660.60
  6. Step 6: Final answer
    x = 6,691.22

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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.