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Finding the Fourth Proportional to 7,006.30, 9,667.80 and 3,862.68

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Solution

The fourth proportional to 7,006.30, 9,667.80 and 3,862.68 is: 5,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.30 : 9,667.80 = 3,862.68 : x
  2. Step 2: Convert to fraction form
    7,006.30/9,667.80 = 3,862.68/x
  3. Step 3: Cross multiply
    7,006.30x = 9,667.80 × 3,862.68
  4. Step 4: Simplify right side
    7,006.30x = 37,343,617.70
  5. Step 5: Solve for x
    x = 37,343,617.70/7,006.30
  6. Step 6: Final answer
    x = 5,330.01

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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.