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Finding the Fourth Proportional to 6,260.34, 9,393.98 and 2,565.16

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Solution

The fourth proportional to 6,260.34, 9,393.98 and 2,565.16 is: 3,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.34 : 9,393.98 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    6,260.34/9,393.98 = 2,565.16/x
  3. Step 3: Cross multiply
    6,260.34x = 9,393.98 × 2,565.16
  4. Step 4: Simplify right side
    6,260.34x = 24,097,061.74
  5. Step 5: Solve for x
    x = 24,097,061.74/6,260.34
  6. Step 6: Final answer
    x = 3,849.16

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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.