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Finding the Fourth Proportional to 9,646.68, 14,459.40 and 6,310.92

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Solution

The fourth proportional to 9,646.68, 14,459.40 and 6,310.92 is: 9,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.68 : 14,459.40 = 6,310.92 : x
  2. Step 2: Convert to fraction form
    9,646.68/14,459.40 = 6,310.92/x
  3. Step 3: Cross multiply
    9,646.68x = 14,459.40 × 6,310.92
  4. Step 4: Simplify right side
    9,646.68x = 91,252,116.65
  5. Step 5: Solve for x
    x = 91,252,116.65/9,646.68
  6. Step 6: Final answer
    x = 9,459.43

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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.