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Finding the Fourth Proportional to 9,849.52, 13,588.05 and 6,488.02

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Solution

The fourth proportional to 9,849.52, 13,588.05 and 6,488.02 is: 8,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.52 : 13,588.05 = 6,488.02 : x
  2. Step 2: Convert to fraction form
    9,849.52/13,588.05 = 6,488.02/x
  3. Step 3: Cross multiply
    9,849.52x = 13,588.05 × 6,488.02
  4. Step 4: Simplify right side
    9,849.52x = 88,159,540.16
  5. Step 5: Solve for x
    x = 88,159,540.16/9,849.52
  6. Step 6: Final answer
    x = 8,950.64

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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.