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Finding the Fourth Proportional to 8,875.49, 13,322.42 and 6,538.13

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Solution

The fourth proportional to 8,875.49, 13,322.42 and 6,538.13 is: 9,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.49 : 13,322.42 = 6,538.13 : x
  2. Step 2: Convert to fraction form
    8,875.49/13,322.42 = 6,538.13/x
  3. Step 3: Cross multiply
    8,875.49x = 13,322.42 × 6,538.13
  4. Step 4: Simplify right side
    8,875.49x = 87,103,663.61
  5. Step 5: Solve for x
    x = 87,103,663.61/8,875.49
  6. Step 6: Final answer
    x = 9,813.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.