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Finding the Fourth Proportional to 9,898.61, 13,659.89 and 5,422.34

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Solution

The fourth proportional to 9,898.61, 13,659.89 and 5,422.34 is: 7,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.61 : 13,659.89 = 5,422.34 : x
  2. Step 2: Convert to fraction form
    9,898.61/13,659.89 = 5,422.34/x
  3. Step 3: Cross multiply
    9,898.61x = 13,659.89 × 5,422.34
  4. Step 4: Simplify right side
    9,898.61x = 74,068,574.98
  5. Step 5: Solve for x
    x = 74,068,574.98/9,898.61
  6. Step 6: Final answer
    x = 7,482.73

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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.