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Finding the Fourth Proportional to 10,062.60, 13,876.50 and 9,268.02

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Solution

The fourth proportional to 10,062.60, 13,876.50 and 9,268.02 is: 12,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.60 : 13,876.50 = 9,268.02 : x
  2. Step 2: Convert to fraction form
    10,062.60/13,876.50 = 9,268.02/x
  3. Step 3: Cross multiply
    10,062.60x = 13,876.50 × 9,268.02
  4. Step 4: Simplify right side
    10,062.60x = 128,607,679.53
  5. Step 5: Solve for x
    x = 128,607,679.53/10,062.60
  6. Step 6: Final answer
    x = 12,780.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.