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Finding the Fourth Proportional to 9,599.43, 13,248.90 and 5,770.02

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Solution

The fourth proportional to 9,599.43, 13,248.90 and 5,770.02 is: 7,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.43 : 13,248.90 = 5,770.02 : x
  2. Step 2: Convert to fraction form
    9,599.43/13,248.90 = 5,770.02/x
  3. Step 3: Cross multiply
    9,599.43x = 13,248.90 × 5,770.02
  4. Step 4: Simplify right side
    9,599.43x = 76,446,417.98
  5. Step 5: Solve for x
    x = 76,446,417.98/9,599.43
  6. Step 6: Final answer
    x = 7,963.64

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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.