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Finding the Fourth Proportional to 9,686.90, 13,359.12 and 6,328.64

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Solution

The fourth proportional to 9,686.90, 13,359.12 and 6,328.64 is: 8,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.90 : 13,359.12 = 6,328.64 : x
  2. Step 2: Convert to fraction form
    9,686.90/13,359.12 = 6,328.64/x
  3. Step 3: Cross multiply
    9,686.90x = 13,359.12 × 6,328.64
  4. Step 4: Simplify right side
    9,686.90x = 84,545,061.20
  5. Step 5: Solve for x
    x = 84,545,061.20/9,686.90
  6. Step 6: Final answer
    x = 8,727.77

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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.