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Finding the Fourth Proportional to 9,074.22, 12,522.32 and 5,095.24

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Solution

The fourth proportional to 9,074.22, 12,522.32 and 5,095.24 is: 7,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.22 : 12,522.32 = 5,095.24 : x
  2. Step 2: Convert to fraction form
    9,074.22/12,522.32 = 5,095.24/x
  3. Step 3: Cross multiply
    9,074.22x = 12,522.32 × 5,095.24
  4. Step 4: Simplify right side
    9,074.22x = 63,804,225.76
  5. Step 5: Solve for x
    x = 63,804,225.76/9,074.22
  6. Step 6: Final answer
    x = 7,031.37

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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.