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Finding the Fourth Proportional to 9,094.86, 12,522.33 and 7,909.02

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Solution

The fourth proportional to 9,094.86, 12,522.33 and 7,909.02 is: 10,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.86 : 12,522.33 = 7,909.02 : x
  2. Step 2: Convert to fraction form
    9,094.86/12,522.33 = 7,909.02/x
  3. Step 3: Cross multiply
    9,094.86x = 12,522.33 × 7,909.02
  4. Step 4: Simplify right side
    9,094.86x = 99,039,358.42
  5. Step 5: Solve for x
    x = 99,039,358.42/9,094.86
  6. Step 6: Final answer
    x = 10,889.60

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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.