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Finding the Fourth Proportional to 10,378.61, 14,320.34 and 6,600.41

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Solution

The fourth proportional to 10,378.61, 14,320.34 and 6,600.41 is: 9,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.61 : 14,320.34 = 6,600.41 : x
  2. Step 2: Convert to fraction form
    10,378.61/14,320.34 = 6,600.41/x
  3. Step 3: Cross multiply
    10,378.61x = 14,320.34 × 6,600.41
  4. Step 4: Simplify right side
    10,378.61x = 94,520,010.74
  5. Step 5: Solve for x
    x = 94,520,010.74/10,378.61
  6. Step 6: Final answer
    x = 9,107.20

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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.