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Finding the Fourth Proportional to 9,253.46, 13,881.50 and 3,011.47

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Solution

The fourth proportional to 9,253.46, 13,881.50 and 3,011.47 is: 4,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.46 : 13,881.50 = 3,011.47 : x
  2. Step 2: Convert to fraction form
    9,253.46/13,881.50 = 3,011.47/x
  3. Step 3: Cross multiply
    9,253.46x = 13,881.50 × 3,011.47
  4. Step 4: Simplify right side
    9,253.46x = 41,803,636.34
  5. Step 5: Solve for x
    x = 41,803,636.34/9,253.46
  6. Step 6: Final answer
    x = 4,517.62

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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.