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Finding the Fourth Proportional to 9,337.25, 12,885.68 and 5,145.77

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Solution

The fourth proportional to 9,337.25, 12,885.68 and 5,145.77 is: 7,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.25 : 12,885.68 = 5,145.77 : x
  2. Step 2: Convert to fraction form
    9,337.25/12,885.68 = 5,145.77/x
  3. Step 3: Cross multiply
    9,337.25x = 12,885.68 × 5,145.77
  4. Step 4: Simplify right side
    9,337.25x = 66,306,719.84
  5. Step 5: Solve for x
    x = 66,306,719.84/9,337.25
  6. Step 6: Final answer
    x = 7,101.31

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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.