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Finding the Fourth Proportional to 9,411.52, 12,987.96 and 5,219.84

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Solution

The fourth proportional to 9,411.52, 12,987.96 and 5,219.84 is: 7,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.52 : 12,987.96 = 5,219.84 : x
  2. Step 2: Convert to fraction form
    9,411.52/12,987.96 = 5,219.84/x
  3. Step 3: Cross multiply
    9,411.52x = 12,987.96 × 5,219.84
  4. Step 4: Simplify right side
    9,411.52x = 67,795,073.13
  5. Step 5: Solve for x
    x = 67,795,073.13/9,411.52
  6. Step 6: Final answer
    x = 7,203.41

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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.