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Finding the Fourth Proportional to 9,898.34, 13,659.87 and 5,422.52

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Solution

The fourth proportional to 9,898.34, 13,659.87 and 5,422.52 is: 7,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.34 : 13,659.87 = 5,422.52 : x
  2. Step 2: Convert to fraction form
    9,898.34/13,659.87 = 5,422.52/x
  3. Step 3: Cross multiply
    9,898.34x = 13,659.87 × 5,422.52
  4. Step 4: Simplify right side
    9,898.34x = 74,070,822.86
  5. Step 5: Solve for x
    x = 74,070,822.86/9,898.34
  6. Step 6: Final answer
    x = 7,483.16

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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.