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Finding the Fourth Proportional to 9,159.65, 13,741.28 and 3,316.13

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Solution

The fourth proportional to 9,159.65, 13,741.28 and 3,316.13 is: 4,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.65 : 13,741.28 = 3,316.13 : x
  2. Step 2: Convert to fraction form
    9,159.65/13,741.28 = 3,316.13/x
  3. Step 3: Cross multiply
    9,159.65x = 13,741.28 × 3,316.13
  4. Step 4: Simplify right side
    9,159.65x = 45,567,854.27
  5. Step 5: Solve for x
    x = 45,567,854.27/9,159.65
  6. Step 6: Final answer
    x = 4,974.85

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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.