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Finding the Fourth Proportional to 9,337.90, 12,886.26 and 5,146.14

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Solution

The fourth proportional to 9,337.90, 12,886.26 and 5,146.14 is: 7,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.90 : 12,886.26 = 5,146.14 : x
  2. Step 2: Convert to fraction form
    9,337.90/12,886.26 = 5,146.14/x
  3. Step 3: Cross multiply
    9,337.90x = 12,886.26 × 5,146.14
  4. Step 4: Simplify right side
    9,337.90x = 66,314,498.04
  5. Step 5: Solve for x
    x = 66,314,498.04/9,337.90
  6. Step 6: Final answer
    x = 7,101.65

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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.