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Finding the Fourth Proportional to 9,461.68, 13,041.12 and 6,472.36

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Solution

The fourth proportional to 9,461.68, 13,041.12 and 6,472.36 is: 8,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.68 : 13,041.12 = 6,472.36 : x
  2. Step 2: Convert to fraction form
    9,461.68/13,041.12 = 6,472.36/x
  3. Step 3: Cross multiply
    9,461.68x = 13,041.12 × 6,472.36
  4. Step 4: Simplify right side
    9,461.68x = 84,406,823.44
  5. Step 5: Solve for x
    x = 84,406,823.44/9,461.68
  6. Step 6: Final answer
    x = 8,920.91

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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.