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Finding the Fourth Proportional to 9,057.76, 13,586.74 and 2,483.95

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Solution

The fourth proportional to 9,057.76, 13,586.74 and 2,483.95 is: 3,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.76 : 13,586.74 = 2,483.95 : x
  2. Step 2: Convert to fraction form
    9,057.76/13,586.74 = 2,483.95/x
  3. Step 3: Cross multiply
    9,057.76x = 13,586.74 × 2,483.95
  4. Step 4: Simplify right side
    9,057.76x = 33,748,782.82
  5. Step 5: Solve for x
    x = 33,748,782.82/9,057.76
  6. Step 6: Final answer
    x = 3,725.95

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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.