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Finding the Fourth Proportional to 9,331.68, 12,878.16 and 5,298.80

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Solution

The fourth proportional to 9,331.68, 12,878.16 and 5,298.80 is: 7,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.68 : 12,878.16 = 5,298.80 : x
  2. Step 2: Convert to fraction form
    9,331.68/12,878.16 = 5,298.80/x
  3. Step 3: Cross multiply
    9,331.68x = 12,878.16 × 5,298.80
  4. Step 4: Simplify right side
    9,331.68x = 68,238,794.21
  5. Step 5: Solve for x
    x = 68,238,794.21/9,331.68
  6. Step 6: Final answer
    x = 7,312.59

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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.