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Finding the Fourth Proportional to 9,292.04, 13,938.11 and 2,366.54

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Solution

The fourth proportional to 9,292.04, 13,938.11 and 2,366.54 is: 3,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.04 : 13,938.11 = 2,366.54 : x
  2. Step 2: Convert to fraction form
    9,292.04/13,938.11 = 2,366.54/x
  3. Step 3: Cross multiply
    9,292.04x = 13,938.11 × 2,366.54
  4. Step 4: Simplify right side
    9,292.04x = 32,985,013.32
  5. Step 5: Solve for x
    x = 32,985,013.32/9,292.04
  6. Step 6: Final answer
    x = 3,549.82

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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.