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Finding the Fourth Proportional to 9,337.44, 12,886.08 and 5,146.08

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Solution

The fourth proportional to 9,337.44, 12,886.08 and 5,146.08 is: 7,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.44 : 12,886.08 = 5,146.08 : x
  2. Step 2: Convert to fraction form
    9,337.44/12,886.08 = 5,146.08/x
  3. Step 3: Cross multiply
    9,337.44x = 12,886.08 × 5,146.08
  4. Step 4: Simplify right side
    9,337.44x = 66,312,798.57
  5. Step 5: Solve for x
    x = 66,312,798.57/9,337.44
  6. Step 6: Final answer
    x = 7,101.82

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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.