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Finding the Fourth Proportional to 9,740.65, 14,612.38 and 3,074.88

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Solution

The fourth proportional to 9,740.65, 14,612.38 and 3,074.88 is: 4,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.65 : 14,612.38 = 3,074.88 : x
  2. Step 2: Convert to fraction form
    9,740.65/14,612.38 = 3,074.88/x
  3. Step 3: Cross multiply
    9,740.65x = 14,612.38 × 3,074.88
  4. Step 4: Simplify right side
    9,740.65x = 44,931,315.01
  5. Step 5: Solve for x
    x = 44,931,315.01/9,740.65
  6. Step 6: Final answer
    x = 4,612.76

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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.