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Finding the Fourth Proportional to 10,062.50, 13,856.60 and 9,844.14

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Solution

The fourth proportional to 10,062.50, 13,856.60 and 9,844.14 is: 13,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.50 : 13,856.60 = 9,844.14 : x
  2. Step 2: Convert to fraction form
    10,062.50/13,856.60 = 9,844.14/x
  3. Step 3: Cross multiply
    10,062.50x = 13,856.60 × 9,844.14
  4. Step 4: Simplify right side
    10,062.50x = 136,406,261.10
  5. Step 5: Solve for x
    x = 136,406,261.10/10,062.50
  6. Step 6: Final answer
    x = 13,555.91

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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.