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Finding the Fourth Proportional to 9,648.14, 14,470.01 and 4,647.96

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Solution

The fourth proportional to 9,648.14, 14,470.01 and 4,647.96 is: 6,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.14 : 14,470.01 = 4,647.96 : x
  2. Step 2: Convert to fraction form
    9,648.14/14,470.01 = 4,647.96/x
  3. Step 3: Cross multiply
    9,648.14x = 14,470.01 × 4,647.96
  4. Step 4: Simplify right side
    9,648.14x = 67,256,004.44
  5. Step 5: Solve for x
    x = 67,256,004.44/9,648.14
  6. Step 6: Final answer
    x = 6,970.88

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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.