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Finding the Fourth Proportional to 9,302.88, 13,949.28 and 3,061.44

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Solution

The fourth proportional to 9,302.88, 13,949.28 and 3,061.44 is: 4,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.88 : 13,949.28 = 3,061.44 : x
  2. Step 2: Convert to fraction form
    9,302.88/13,949.28 = 3,061.44/x
  3. Step 3: Cross multiply
    9,302.88x = 13,949.28 × 3,061.44
  4. Step 4: Simplify right side
    9,302.88x = 42,704,883.76
  5. Step 5: Solve for x
    x = 42,704,883.76/9,302.88
  6. Step 6: Final answer
    x = 4,590.50

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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.