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Finding the Fourth Proportional to 7,034.57, 9,707.06 and 3,890.69

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Solution

The fourth proportional to 7,034.57, 9,707.06 and 3,890.69 is: 5,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.57 : 9,707.06 = 3,890.69 : x
  2. Step 2: Convert to fraction form
    7,034.57/9,707.06 = 3,890.69/x
  3. Step 3: Cross multiply
    7,034.57x = 9,707.06 × 3,890.69
  4. Step 4: Simplify right side
    7,034.57x = 37,767,141.82
  5. Step 5: Solve for x
    x = 37,767,141.82/7,034.57
  6. Step 6: Final answer
    x = 5,368.79

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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.