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Finding the Fourth Proportional to 9,686.34, 14,529.51 and 6,398.69

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Solution

The fourth proportional to 9,686.34, 14,529.51 and 6,398.69 is: 9,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.34 : 14,529.51 = 6,398.69 : x
  2. Step 2: Convert to fraction form
    9,686.34/14,529.51 = 6,398.69/x
  3. Step 3: Cross multiply
    9,686.34x = 14,529.51 × 6,398.69
  4. Step 4: Simplify right side
    9,686.34x = 92,969,757.69
  5. Step 5: Solve for x
    x = 92,969,757.69/9,686.34
  6. Step 6: Final answer
    x = 9,598.03

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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.