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Finding the Fourth Proportional to 9,930.68, 14,878.82 and 6,026.90

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Solution

The fourth proportional to 9,930.68, 14,878.82 and 6,026.90 is: 9,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.68 : 14,878.82 = 6,026.90 : x
  2. Step 2: Convert to fraction form
    9,930.68/14,878.82 = 6,026.90/x
  3. Step 3: Cross multiply
    9,930.68x = 14,878.82 × 6,026.90
  4. Step 4: Simplify right side
    9,930.68x = 89,673,160.26
  5. Step 5: Solve for x
    x = 89,673,160.26/9,930.68
  6. Step 6: Final answer
    x = 9,029.91

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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.