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Finding the Fourth Proportional to 7,061.46, 9,743.52 and 4,076.20

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Solution

The fourth proportional to 7,061.46, 9,743.52 and 4,076.20 is: 5,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.46 : 9,743.52 = 4,076.20 : x
  2. Step 2: Convert to fraction form
    7,061.46/9,743.52 = 4,076.20/x
  3. Step 3: Cross multiply
    7,061.46x = 9,743.52 × 4,076.20
  4. Step 4: Simplify right side
    7,061.46x = 39,716,536.22
  5. Step 5: Solve for x
    x = 39,716,536.22/7,061.46
  6. Step 6: Final answer
    x = 5,624.41

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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.