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Finding the Fourth Proportional to 9,151.08, 13,729.02 and 3,886.29

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Solution

The fourth proportional to 9,151.08, 13,729.02 and 3,886.29 is: 5,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.08 : 13,729.02 = 3,886.29 : x
  2. Step 2: Convert to fraction form
    9,151.08/13,729.02 = 3,886.29/x
  3. Step 3: Cross multiply
    9,151.08x = 13,729.02 × 3,886.29
  4. Step 4: Simplify right side
    9,151.08x = 53,354,953.14
  5. Step 5: Solve for x
    x = 53,354,953.14/9,151.08
  6. Step 6: Final answer
    x = 5,830.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.