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Finding the Fourth Proportional to 9,406.64, 12,981.14 and 5,214.92

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Solution

The fourth proportional to 9,406.64, 12,981.14 and 5,214.92 is: 7,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.64 : 12,981.14 = 5,214.92 : x
  2. Step 2: Convert to fraction form
    9,406.64/12,981.14 = 5,214.92/x
  3. Step 3: Cross multiply
    9,406.64x = 12,981.14 × 5,214.92
  4. Step 4: Simplify right side
    9,406.64x = 67,695,606.61
  5. Step 5: Solve for x
    x = 67,695,606.61/9,406.64
  6. Step 6: Final answer
    x = 7,196.58

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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.