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Finding the Fourth Proportional to 9,425.64, 13,006.80 and 5,233.90

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Solution

The fourth proportional to 9,425.64, 13,006.80 and 5,233.90 is: 7,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.64 : 13,006.80 = 5,233.90 : x
  2. Step 2: Convert to fraction form
    9,425.64/13,006.80 = 5,233.90/x
  3. Step 3: Cross multiply
    9,425.64x = 13,006.80 × 5,233.90
  4. Step 4: Simplify right side
    9,425.64x = 68,076,290.52
  5. Step 5: Solve for x
    x = 68,076,290.52/9,425.64
  6. Step 6: Final answer
    x = 7,222.46

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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.