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Finding the Fourth Proportional to 6,645.34, 9,176.80 and 4,165.66

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Solution

The fourth proportional to 6,645.34, 9,176.80 and 4,165.66 is: 5,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.34 : 9,176.80 = 4,165.66 : x
  2. Step 2: Convert to fraction form
    6,645.34/9,176.80 = 4,165.66/x
  3. Step 3: Cross multiply
    6,645.34x = 9,176.80 × 4,165.66
  4. Step 4: Simplify right side
    6,645.34x = 38,227,428.69
  5. Step 5: Solve for x
    x = 38,227,428.69/6,645.34
  6. Step 6: Final answer
    x = 5,752.52

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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.