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Finding the Fourth Proportional to 9,677.77, 13,358.16 and 6,321.11

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Solution

The fourth proportional to 9,677.77, 13,358.16 and 6,321.11 is: 8,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.77 : 13,358.16 = 6,321.11 : x
  2. Step 2: Convert to fraction form
    9,677.77/13,358.16 = 6,321.11/x
  3. Step 3: Cross multiply
    9,677.77x = 13,358.16 × 6,321.11
  4. Step 4: Simplify right side
    9,677.77x = 84,438,398.76
  5. Step 5: Solve for x
    x = 84,438,398.76/9,677.77
  6. Step 6: Final answer
    x = 8,724.99

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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.