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Finding the Fourth Proportional to 9,898.88, 13,659.80 and 5,422.68

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Solution

The fourth proportional to 9,898.88, 13,659.80 and 5,422.68 is: 7,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.88 : 13,659.80 = 5,422.68 : x
  2. Step 2: Convert to fraction form
    9,898.88/13,659.80 = 5,422.68/x
  3. Step 3: Cross multiply
    9,898.88x = 13,659.80 × 5,422.68
  4. Step 4: Simplify right side
    9,898.88x = 74,072,697.15
  5. Step 5: Solve for x
    x = 74,072,697.15/9,898.88
  6. Step 6: Final answer
    x = 7,482.94

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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.