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Finding the Fourth Proportional to 6,307.49, 9,445.08 and 5,264.90

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Solution

The fourth proportional to 6,307.49, 9,445.08 and 5,264.90 is: 7,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.49 : 9,445.08 = 5,264.90 : x
  2. Step 2: Convert to fraction form
    6,307.49/9,445.08 = 5,264.90/x
  3. Step 3: Cross multiply
    6,307.49x = 9,445.08 × 5,264.90
  4. Step 4: Simplify right side
    6,307.49x = 49,727,401.69
  5. Step 5: Solve for x
    x = 49,727,401.69/6,307.49
  6. Step 6: Final answer
    x = 7,883.87

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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.