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Finding the Fourth Proportional to 9,853.52, 13,600.13 and 6,496.92

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Solution

The fourth proportional to 9,853.52, 13,600.13 and 6,496.92 is: 8,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.52 : 13,600.13 = 6,496.92 : x
  2. Step 2: Convert to fraction form
    9,853.52/13,600.13 = 6,496.92/x
  3. Step 3: Cross multiply
    9,853.52x = 13,600.13 × 6,496.92
  4. Step 4: Simplify right side
    9,853.52x = 88,358,924.12
  5. Step 5: Solve for x
    x = 88,358,924.12/9,853.52
  6. Step 6: Final answer
    x = 8,967.25

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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.