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Finding the Fourth Proportional to 9,337.64, 12,885.36 and 5,145.88

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Solution

The fourth proportional to 9,337.64, 12,885.36 and 5,145.88 is: 7,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.64 : 12,885.36 = 5,145.88 : x
  2. Step 2: Convert to fraction form
    9,337.64/12,885.36 = 5,145.88/x
  3. Step 3: Cross multiply
    9,337.64x = 12,885.36 × 5,145.88
  4. Step 4: Simplify right side
    9,337.64x = 66,306,516.32
  5. Step 5: Solve for x
    x = 66,306,516.32/9,337.64
  6. Step 6: Final answer
    x = 7,100.99

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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.