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Finding the Fourth Proportional to 9,686.61, 14,529.87 and 6,414.36

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Solution

The fourth proportional to 9,686.61, 14,529.87 and 6,414.36 is: 9,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.61 : 14,529.87 = 6,414.36 : x
  2. Step 2: Convert to fraction form
    9,686.61/14,529.87 = 6,414.36/x
  3. Step 3: Cross multiply
    9,686.61x = 14,529.87 × 6,414.36
  4. Step 4: Simplify right side
    9,686.61x = 93,199,816.93
  5. Step 5: Solve for x
    x = 93,199,816.93/9,686.61
  6. Step 6: Final answer
    x = 9,621.51

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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.