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Finding the Fourth Proportional to 6,985.47, 9,639.94 and 3,841.65

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Solution

The fourth proportional to 6,985.47, 9,639.94 and 3,841.65 is: 5,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.47 : 9,639.94 = 3,841.65 : x
  2. Step 2: Convert to fraction form
    6,985.47/9,639.94 = 3,841.65/x
  3. Step 3: Cross multiply
    6,985.47x = 9,639.94 × 3,841.65
  4. Step 4: Simplify right side
    6,985.47x = 37,033,289.41
  5. Step 5: Solve for x
    x = 37,033,289.41/6,985.47
  6. Step 6: Final answer
    x = 5,301.48

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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.