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Finding the Fourth Proportional to 6,645.42, 9,971.13 and 2,898.36

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Solution

The fourth proportional to 6,645.42, 9,971.13 and 2,898.36 is: 4,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.42 : 9,971.13 = 2,898.36 : x
  2. Step 2: Convert to fraction form
    6,645.42/9,971.13 = 2,898.36/x
  3. Step 3: Cross multiply
    6,645.42x = 9,971.13 × 2,898.36
  4. Step 4: Simplify right side
    6,645.42x = 28,899,935.22
  5. Step 5: Solve for x
    x = 28,899,935.22/6,645.42
  6. Step 6: Final answer
    x = 4,348.85

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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.