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Finding the Fourth Proportional to 9,079.48, 13,614.90 and 5,182.84

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Solution

The fourth proportional to 9,079.48, 13,614.90 and 5,182.84 is: 7,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.48 : 13,614.90 = 5,182.84 : x
  2. Step 2: Convert to fraction form
    9,079.48/13,614.90 = 5,182.84/x
  3. Step 3: Cross multiply
    9,079.48x = 13,614.90 × 5,182.84
  4. Step 4: Simplify right side
    9,079.48x = 70,563,848.32
  5. Step 5: Solve for x
    x = 70,563,848.32/9,079.48
  6. Step 6: Final answer
    x = 7,771.79

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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.