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Finding the Fourth Proportional to 9,324.96, 12,867.66 and 5,345.16

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Solution

The fourth proportional to 9,324.96, 12,867.66 and 5,345.16 is: 7,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.96 : 12,867.66 = 5,345.16 : x
  2. Step 2: Convert to fraction form
    9,324.96/12,867.66 = 5,345.16/x
  3. Step 3: Cross multiply
    9,324.96x = 12,867.66 × 5,345.16
  4. Step 4: Simplify right side
    9,324.96x = 68,779,701.53
  5. Step 5: Solve for x
    x = 68,779,701.53/9,324.96
  6. Step 6: Final answer
    x = 7,375.87

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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.