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Finding the Fourth Proportional to 9,698.22, 14,553.41 and 4,432.41

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Solution

The fourth proportional to 9,698.22, 14,553.41 and 4,432.41 is: 6,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.22 : 14,553.41 = 4,432.41 : x
  2. Step 2: Convert to fraction form
    9,698.22/14,553.41 = 4,432.41/x
  3. Step 3: Cross multiply
    9,698.22x = 14,553.41 × 4,432.41
  4. Step 4: Simplify right side
    9,698.22x = 64,506,657.86
  5. Step 5: Solve for x
    x = 64,506,657.86/9,698.22
  6. Step 6: Final answer
    x = 6,651.39

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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.