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Finding the Fourth Proportional to 9,278.96, 13,899.89 and 5,579.16

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Solution

The fourth proportional to 9,278.96, 13,899.89 and 5,579.16 is: 8,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.96 : 13,899.89 = 5,579.16 : x
  2. Step 2: Convert to fraction form
    9,278.96/13,899.89 = 5,579.16/x
  3. Step 3: Cross multiply
    9,278.96x = 13,899.89 × 5,579.16
  4. Step 4: Simplify right side
    9,278.96x = 77,549,710.29
  5. Step 5: Solve for x
    x = 77,549,710.29/9,278.96
  6. Step 6: Final answer
    x = 8,357.59

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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.