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Finding the Fourth Proportional to 9,225.84, 12,731.58 and 5,034

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Solution

The fourth proportional to 9,225.84, 12,731.58 and 5,034 is: 6,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.84 : 12,731.58 = 5,034 : x
  2. Step 2: Convert to fraction form
    9,225.84/12,731.58 = 5,034/x
  3. Step 3: Cross multiply
    9,225.84x = 12,731.58 × 5,034
  4. Step 4: Simplify right side
    9,225.84x = 64,090,773.72
  5. Step 5: Solve for x
    x = 64,090,773.72/9,225.84
  6. Step 6: Final answer
    x = 6,946.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.