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Finding the Fourth Proportional to 7,034, 9,706.08 and 3,889.76

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Solution

The fourth proportional to 7,034, 9,706.08 and 3,889.76 is: 5,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 9,706.08 = 3,889.76 : x
  2. Step 2: Convert to fraction form
    7,034/9,706.08 = 3,889.76/x
  3. Step 3: Cross multiply
    7,034x = 9,706.08 × 3,889.76
  4. Step 4: Simplify right side
    7,034x = 37,754,321.74
  5. Step 5: Solve for x
    x = 37,754,321.74/7,034
  6. Step 6: Final answer
    x = 5,367.40

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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.