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Finding the Fourth Proportional to 9,742.16, 14,611.13 and 3,079.19

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Solution

The fourth proportional to 9,742.16, 14,611.13 and 3,079.19 is: 4,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.16 : 14,611.13 = 3,079.19 : x
  2. Step 2: Convert to fraction form
    9,742.16/14,611.13 = 3,079.19/x
  3. Step 3: Cross multiply
    9,742.16x = 14,611.13 × 3,079.19
  4. Step 4: Simplify right side
    9,742.16x = 44,990,445.38
  5. Step 5: Solve for x
    x = 44,990,445.38/9,742.16
  6. Step 6: Final answer
    x = 4,618.12

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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.