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Finding the Fourth Proportional to 9,074.78, 12,522.80 and 5,298.15

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Solution

The fourth proportional to 9,074.78, 12,522.80 and 5,298.15 is: 7,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.78 : 12,522.80 = 5,298.15 : x
  2. Step 2: Convert to fraction form
    9,074.78/12,522.80 = 5,298.15/x
  3. Step 3: Cross multiply
    9,074.78x = 12,522.80 × 5,298.15
  4. Step 4: Simplify right side
    9,074.78x = 66,347,686.07
  5. Step 5: Solve for x
    x = 66,347,686.07/9,074.78
  6. Step 6: Final answer
    x = 7,311.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.