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Finding the Fourth Proportional to 9,027.76, 12,462.36 and 5,302

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Solution

The fourth proportional to 9,027.76, 12,462.36 and 5,302 is: 7,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.76 : 12,462.36 = 5,302 : x
  2. Step 2: Convert to fraction form
    9,027.76/12,462.36 = 5,302/x
  3. Step 3: Cross multiply
    9,027.76x = 12,462.36 × 5,302
  4. Step 4: Simplify right side
    9,027.76x = 66,075,432.72
  5. Step 5: Solve for x
    x = 66,075,432.72/9,027.76
  6. Step 6: Final answer
    x = 7,319.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.