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Finding the Fourth Proportional to 9,648.54, 14,475.04 and 3,074.72

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Solution

The fourth proportional to 9,648.54, 14,475.04 and 3,074.72 is: 4,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.54 : 14,475.04 = 3,074.72 : x
  2. Step 2: Convert to fraction form
    9,648.54/14,475.04 = 3,074.72/x
  3. Step 3: Cross multiply
    9,648.54x = 14,475.04 × 3,074.72
  4. Step 4: Simplify right side
    9,648.54x = 44,506,694.99
  5. Step 5: Solve for x
    x = 44,506,694.99/9,648.54
  6. Step 6: Final answer
    x = 4,612.79

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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.