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Finding the Fourth Proportional to 9,526.86, 13,226.27 and 9,241.74

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Solution

The fourth proportional to 9,526.86, 13,226.27 and 9,241.74 is: 12,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.86 : 13,226.27 = 9,241.74 : x
  2. Step 2: Convert to fraction form
    9,526.86/13,226.27 = 9,241.74/x
  3. Step 3: Cross multiply
    9,526.86x = 13,226.27 × 9,241.74
  4. Step 4: Simplify right side
    9,526.86x = 122,233,702.30
  5. Step 5: Solve for x
    x = 122,233,702.30/9,526.86
  6. Step 6: Final answer
    x = 12,830.43

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.