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Finding the Fourth Proportional to 9,337.84, 12,886.32 and 5,146.24

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Solution

The fourth proportional to 9,337.84, 12,886.32 and 5,146.24 is: 7,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.84 : 12,886.32 = 5,146.24 : x
  2. Step 2: Convert to fraction form
    9,337.84/12,886.32 = 5,146.24/x
  3. Step 3: Cross multiply
    9,337.84x = 12,886.32 × 5,146.24
  4. Step 4: Simplify right side
    9,337.84x = 66,316,095.44
  5. Step 5: Solve for x
    x = 66,316,095.44/9,337.84
  6. Step 6: Final answer
    x = 7,101.87

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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.