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Finding the Fourth Proportional to 9,642.78, 14,472.38 and 3,803.49

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Solution

The fourth proportional to 9,642.78, 14,472.38 and 3,803.49 is: 5,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.78 : 14,472.38 = 3,803.49 : x
  2. Step 2: Convert to fraction form
    9,642.78/14,472.38 = 3,803.49/x
  3. Step 3: Cross multiply
    9,642.78x = 14,472.38 × 3,803.49
  4. Step 4: Simplify right side
    9,642.78x = 55,045,480.24
  5. Step 5: Solve for x
    x = 55,045,480.24/9,642.78
  6. Step 6: Final answer
    x = 5,708.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.