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Finding the Fourth Proportional to 10,446.67, 14,412.30 and 6,669.10

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Solution

The fourth proportional to 10,446.67, 14,412.30 and 6,669.10 is: 9,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.67 : 14,412.30 = 6,669.10 : x
  2. Step 2: Convert to fraction form
    10,446.67/14,412.30 = 6,669.10/x
  3. Step 3: Cross multiply
    10,446.67x = 14,412.30 × 6,669.10
  4. Step 4: Simplify right side
    10,446.67x = 96,117,069.93
  5. Step 5: Solve for x
    x = 96,117,069.93/10,446.67
  6. Step 6: Final answer
    x = 9,200.74

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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.