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Finding the Fourth Proportional to 9,781.60, 14,672.40 and 2,856.10

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Solution

The fourth proportional to 9,781.60, 14,672.40 and 2,856.10 is: 4,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.60 : 14,672.40 = 2,856.10 : x
  2. Step 2: Convert to fraction form
    9,781.60/14,672.40 = 2,856.10/x
  3. Step 3: Cross multiply
    9,781.60x = 14,672.40 × 2,856.10
  4. Step 4: Simplify right side
    9,781.60x = 41,905,841.64
  5. Step 5: Solve for x
    x = 41,905,841.64/9,781.60
  6. Step 6: Final answer
    x = 4,284.15

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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.