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Finding the Fourth Proportional to 9,752.49, 13,461.84 and 6,215.01

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Solution

The fourth proportional to 9,752.49, 13,461.84 and 6,215.01 is: 8,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.49 : 13,461.84 = 6,215.01 : x
  2. Step 2: Convert to fraction form
    9,752.49/13,461.84 = 6,215.01/x
  3. Step 3: Cross multiply
    9,752.49x = 13,461.84 × 6,215.01
  4. Step 4: Simplify right side
    9,752.49x = 83,665,470.22
  5. Step 5: Solve for x
    x = 83,665,470.22/9,752.49
  6. Step 6: Final answer
    x = 8,578.88

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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.