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Finding the Fourth Proportional to 9,741.84, 14,612.76 and 9,042

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Solution

The fourth proportional to 9,741.84, 14,612.76 and 9,042 is: 13,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.84 : 14,612.76 = 9,042 : x
  2. Step 2: Convert to fraction form
    9,741.84/14,612.76 = 9,042/x
  3. Step 3: Cross multiply
    9,741.84x = 14,612.76 × 9,042
  4. Step 4: Simplify right side
    9,741.84x = 132,128,575.92
  5. Step 5: Solve for x
    x = 132,128,575.92/9,741.84
  6. Step 6: Final answer
    x = 13,563

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.