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Finding the Fourth Proportional to 9,898.83, 13,660.32 and 5,422.55

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Solution

The fourth proportional to 9,898.83, 13,660.32 and 5,422.55 is: 7,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.83 : 13,660.32 = 5,422.55 : x
  2. Step 2: Convert to fraction form
    9,898.83/13,660.32 = 5,422.55/x
  3. Step 3: Cross multiply
    9,898.83x = 13,660.32 × 5,422.55
  4. Step 4: Simplify right side
    9,898.83x = 74,073,705.00
  5. Step 5: Solve for x
    x = 74,073,705.00/9,898.83
  6. Step 6: Final answer
    x = 7,483.07

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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.