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Finding the Fourth Proportional to 6,426.30, 8,864.91 and 5,232.64

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Solution

The fourth proportional to 6,426.30, 8,864.91 and 5,232.64 is: 7,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.30 : 8,864.91 = 5,232.64 : x
  2. Step 2: Convert to fraction form
    6,426.30/8,864.91 = 5,232.64/x
  3. Step 3: Cross multiply
    6,426.30x = 8,864.91 × 5,232.64
  4. Step 4: Simplify right side
    6,426.30x = 46,386,842.58
  5. Step 5: Solve for x
    x = 46,386,842.58/6,426.30
  6. Step 6: Final answer
    x = 7,218.28

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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.