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Finding the Fourth Proportional to 9,322.65, 12,865.55 and 5,074.02

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Solution

The fourth proportional to 9,322.65, 12,865.55 and 5,074.02 is: 7,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.65 : 12,865.55 = 5,074.02 : x
  2. Step 2: Convert to fraction form
    9,322.65/12,865.55 = 5,074.02/x
  3. Step 3: Cross multiply
    9,322.65x = 12,865.55 × 5,074.02
  4. Step 4: Simplify right side
    9,322.65x = 65,280,032.64
  5. Step 5: Solve for x
    x = 65,280,032.64/9,322.65
  6. Step 6: Final answer
    x = 7,002.30

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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.