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Finding the Fourth Proportional to 6,393.96, 9,607.14 and 6,134.76

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Solution

The fourth proportional to 6,393.96, 9,607.14 and 6,134.76 is: 9,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.96 : 9,607.14 = 6,134.76 : x
  2. Step 2: Convert to fraction form
    6,393.96/9,607.14 = 6,134.76/x
  3. Step 3: Cross multiply
    6,393.96x = 9,607.14 × 6,134.76
  4. Step 4: Simplify right side
    6,393.96x = 58,937,498.19
  5. Step 5: Solve for x
    x = 58,937,498.19/6,393.96
  6. Step 6: Final answer
    x = 9,217.68

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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.