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Finding the Fourth Proportional to 9,074.16, 12,522.39 and 5,095.20

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Solution

The fourth proportional to 9,074.16, 12,522.39 and 5,095.20 is: 7,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.16 : 12,522.39 = 5,095.20 : x
  2. Step 2: Convert to fraction form
    9,074.16/12,522.39 = 5,095.20/x
  3. Step 3: Cross multiply
    9,074.16x = 12,522.39 × 5,095.20
  4. Step 4: Simplify right side
    9,074.16x = 63,804,081.53
  5. Step 5: Solve for x
    x = 63,804,081.53/9,074.16
  6. Step 6: Final answer
    x = 7,031.40

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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.