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Finding the Fourth Proportional to 6,264.57, 9,397.62 and 2,047.72

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Solution

The fourth proportional to 6,264.57, 9,397.62 and 2,047.72 is: 3,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.57 : 9,397.62 = 2,047.72 : x
  2. Step 2: Convert to fraction form
    6,264.57/9,397.62 = 2,047.72/x
  3. Step 3: Cross multiply
    6,264.57x = 9,397.62 × 2,047.72
  4. Step 4: Simplify right side
    6,264.57x = 19,243,637.20
  5. Step 5: Solve for x
    x = 19,243,637.20/6,264.57
  6. Step 6: Final answer
    x = 3,071.82

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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.