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Finding the Fourth Proportional to 9,647.44, 14,470.60 and 3,407.76

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Solution

The fourth proportional to 9,647.44, 14,470.60 and 3,407.76 is: 5,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.44 : 14,470.60 = 3,407.76 : x
  2. Step 2: Convert to fraction form
    9,647.44/14,470.60 = 3,407.76/x
  3. Step 3: Cross multiply
    9,647.44x = 14,470.60 × 3,407.76
  4. Step 4: Simplify right side
    9,647.44x = 49,312,331.86
  5. Step 5: Solve for x
    x = 49,312,331.86/9,647.44
  6. Step 6: Final answer
    x = 5,111.44

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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.