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Finding the Fourth Proportional to 9,618.60, 14,411.70 and 4,677.60

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Solution

The fourth proportional to 9,618.60, 14,411.70 and 4,677.60 is: 7,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.60 : 14,411.70 = 4,677.60 : x
  2. Step 2: Convert to fraction form
    9,618.60/14,411.70 = 4,677.60/x
  3. Step 3: Cross multiply
    9,618.60x = 14,411.70 × 4,677.60
  4. Step 4: Simplify right side
    9,618.60x = 67,412,167.92
  5. Step 5: Solve for x
    x = 67,412,167.92/9,618.60
  6. Step 6: Final answer
    x = 7,008.52

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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.