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Finding the Fourth Proportional to 6,264.48, 9,387 and 2,366.76

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Solution

The fourth proportional to 6,264.48, 9,387 and 2,366.76 is: 3,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.48 : 9,387 = 2,366.76 : x
  2. Step 2: Convert to fraction form
    6,264.48/9,387 = 2,366.76/x
  3. Step 3: Cross multiply
    6,264.48x = 9,387 × 2,366.76
  4. Step 4: Simplify right side
    6,264.48x = 22,216,776.12
  5. Step 5: Solve for x
    x = 22,216,776.12/6,264.48
  6. Step 6: Final answer
    x = 3,546.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.