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Finding the Fourth Proportional to 9,258.60, 13,887.90 and 8,456.70

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Solution

The fourth proportional to 9,258.60, 13,887.90 and 8,456.70 is: 12,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.60 : 13,887.90 = 8,456.70 : x
  2. Step 2: Convert to fraction form
    9,258.60/13,887.90 = 8,456.70/x
  3. Step 3: Cross multiply
    9,258.60x = 13,887.90 × 8,456.70
  4. Step 4: Simplify right side
    9,258.60x = 117,445,803.93
  5. Step 5: Solve for x
    x = 117,445,803.93/9,258.60
  6. Step 6: Final answer
    x = 12,685.05

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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.