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Finding the Fourth Proportional to 9,323.81, 12,867.06 and 5,132.06

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Solution

The fourth proportional to 9,323.81, 12,867.06 and 5,132.06 is: 7,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.81 : 12,867.06 = 5,132.06 : x
  2. Step 2: Convert to fraction form
    9,323.81/12,867.06 = 5,132.06/x
  3. Step 3: Cross multiply
    9,323.81x = 12,867.06 × 5,132.06
  4. Step 4: Simplify right side
    9,323.81x = 66,034,575.36
  5. Step 5: Solve for x
    x = 66,034,575.36/9,323.81
  6. Step 6: Final answer
    x = 7,082.36

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1.5x scale

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.