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Finding the Fourth Proportional to 9,456.64, 13,050.47 and 5,207.92

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Solution

The fourth proportional to 9,456.64, 13,050.47 and 5,207.92 is: 7,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.64 : 13,050.47 = 5,207.92 : x
  2. Step 2: Convert to fraction form
    9,456.64/13,050.47 = 5,207.92/x
  3. Step 3: Cross multiply
    9,456.64x = 13,050.47 × 5,207.92
  4. Step 4: Simplify right side
    9,456.64x = 67,965,784.12
  5. Step 5: Solve for x
    x = 67,965,784.12/9,456.64
  6. Step 6: Final answer
    x = 7,187.10

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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.