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Finding the Fourth Proportional to 9,113.58, 13,670.85 and 2,539.74

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Solution

The fourth proportional to 9,113.58, 13,670.85 and 2,539.74 is: 3,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.58 : 13,670.85 = 2,539.74 : x
  2. Step 2: Convert to fraction form
    9,113.58/13,670.85 = 2,539.74/x
  3. Step 3: Cross multiply
    9,113.58x = 13,670.85 × 2,539.74
  4. Step 4: Simplify right side
    9,113.58x = 34,720,404.58
  5. Step 5: Solve for x
    x = 34,720,404.58/9,113.58
  6. Step 6: Final answer
    x = 3,809.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.