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Finding the Fourth Proportional to 12,281.47, 16,948.47 and 6,976.33

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Solution

The fourth proportional to 12,281.47, 16,948.47 and 6,976.33 is: 9,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.47 : 16,948.47 = 6,976.33 : x
  2. Step 2: Convert to fraction form
    12,281.47/16,948.47 = 6,976.33/x
  3. Step 3: Cross multiply
    12,281.47x = 16,948.47 × 6,976.33
  4. Step 4: Simplify right side
    12,281.47x = 118,238,119.72
  5. Step 5: Solve for x
    x = 118,238,119.72/12,281.47
  6. Step 6: Final answer
    x = 9,627.36

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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.