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Finding the Fourth Proportional to 7,034.15, 9,706.42 and 3,890.14

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Solution

The fourth proportional to 7,034.15, 9,706.42 and 3,890.14 is: 5,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.15 : 9,706.42 = 3,890.14 : x
  2. Step 2: Convert to fraction form
    7,034.15/9,706.42 = 3,890.14/x
  3. Step 3: Cross multiply
    7,034.15x = 9,706.42 × 3,890.14
  4. Step 4: Simplify right side
    7,034.15x = 37,759,332.70
  5. Step 5: Solve for x
    x = 37,759,332.70/7,034.15
  6. Step 6: Final answer
    x = 5,368.00

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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.