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Finding the Fourth Proportional to 8,294.17, 11,433.86 and 6,301.26

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Solution

The fourth proportional to 8,294.17, 11,433.86 and 6,301.26 is: 8,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.17 : 11,433.86 = 6,301.26 : x
  2. Step 2: Convert to fraction form
    8,294.17/11,433.86 = 6,301.26/x
  3. Step 3: Cross multiply
    8,294.17x = 11,433.86 × 6,301.26
  4. Step 4: Simplify right side
    8,294.17x = 72,047,693.16
  5. Step 5: Solve for x
    x = 72,047,693.16/8,294.17
  6. Step 6: Final answer
    x = 8,686.55

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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.