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Finding the Fourth Proportional to 9,648.32, 14,472.21 and 3,074.90

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Solution

The fourth proportional to 9,648.32, 14,472.21 and 3,074.90 is: 4,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.32 : 14,472.21 = 3,074.90 : x
  2. Step 2: Convert to fraction form
    9,648.32/14,472.21 = 3,074.90/x
  3. Step 3: Cross multiply
    9,648.32x = 14,472.21 × 3,074.90
  4. Step 4: Simplify right side
    9,648.32x = 44,500,598.53
  5. Step 5: Solve for x
    x = 44,500,598.53/9,648.32
  6. Step 6: Final answer
    x = 4,612.26

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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.