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Finding the Fourth Proportional to 9,109.66, 12,571.20 and 5,076.46

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Solution

The fourth proportional to 9,109.66, 12,571.20 and 5,076.46 is: 7,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.66 : 12,571.20 = 5,076.46 : x
  2. Step 2: Convert to fraction form
    9,109.66/12,571.20 = 5,076.46/x
  3. Step 3: Cross multiply
    9,109.66x = 12,571.20 × 5,076.46
  4. Step 4: Simplify right side
    9,109.66x = 63,817,193.95
  5. Step 5: Solve for x
    x = 63,817,193.95/9,109.66
  6. Step 6: Final answer
    x = 7,005.44

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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.