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Finding the Fourth Proportional to 9,077.74, 13,597.47 and 4,151.52

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Solution

The fourth proportional to 9,077.74, 13,597.47 and 4,151.52 is: 6,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.74 : 13,597.47 = 4,151.52 : x
  2. Step 2: Convert to fraction form
    9,077.74/13,597.47 = 4,151.52/x
  3. Step 3: Cross multiply
    9,077.74x = 13,597.47 × 4,151.52
  4. Step 4: Simplify right side
    9,077.74x = 56,450,168.65
  5. Step 5: Solve for x
    x = 56,450,168.65/9,077.74
  6. Step 6: Final answer
    x = 6,218.53

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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.