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Finding the Fourth Proportional to 9,856.93, 14,785.31 and 2,461.34

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Solution

The fourth proportional to 9,856.93, 14,785.31 and 2,461.34 is: 3,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.93 : 14,785.31 = 2,461.34 : x
  2. Step 2: Convert to fraction form
    9,856.93/14,785.31 = 2,461.34/x
  3. Step 3: Cross multiply
    9,856.93x = 14,785.31 × 2,461.34
  4. Step 4: Simplify right side
    9,856.93x = 36,391,607.14
  5. Step 5: Solve for x
    x = 36,391,607.14/9,856.93
  6. Step 6: Final answer
    x = 3,691.98

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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.