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Finding the Fourth Proportional to 9,323.76, 12,866.78 and 5,132

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Solution

The fourth proportional to 9,323.76, 12,866.78 and 5,132 is: 7,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.76 : 12,866.78 = 5,132 : x
  2. Step 2: Convert to fraction form
    9,323.76/12,866.78 = 5,132/x
  3. Step 3: Cross multiply
    9,323.76x = 12,866.78 × 5,132
  4. Step 4: Simplify right side
    9,323.76x = 66,032,314.96
  5. Step 5: Solve for x
    x = 66,032,314.96/9,323.76
  6. Step 6: Final answer
    x = 7,082.16

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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.