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Finding the Fourth Proportional to 7,034.90, 9,709.46 and 4,520.15

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Solution

The fourth proportional to 7,034.90, 9,709.46 and 4,520.15 is: 6,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.90 : 9,709.46 = 4,520.15 : x
  2. Step 2: Convert to fraction form
    7,034.90/9,709.46 = 4,520.15/x
  3. Step 3: Cross multiply
    7,034.90x = 9,709.46 × 4,520.15
  4. Step 4: Simplify right side
    7,034.90x = 43,888,252.45
  5. Step 5: Solve for x
    x = 43,888,252.45/7,034.90
  6. Step 6: Final answer
    x = 6,238.65

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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.