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Finding the Fourth Proportional to 9,241.56, 13,867.98 and 4,862.16

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Solution

The fourth proportional to 9,241.56, 13,867.98 and 4,862.16 is: 7,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.56 : 13,867.98 = 4,862.16 : x
  2. Step 2: Convert to fraction form
    9,241.56/13,867.98 = 4,862.16/x
  3. Step 3: Cross multiply
    9,241.56x = 13,867.98 × 4,862.16
  4. Step 4: Simplify right side
    9,241.56x = 67,428,337.64
  5. Step 5: Solve for x
    x = 67,428,337.64/9,241.56
  6. Step 6: Final answer
    x = 7,296.21

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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.