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Finding the Fourth Proportional to 6,113.36, 9,167.74 and 2,416.40

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Solution

The fourth proportional to 6,113.36, 9,167.74 and 2,416.40 is: 3,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.36 : 9,167.74 = 2,416.40 : x
  2. Step 2: Convert to fraction form
    6,113.36/9,167.74 = 2,416.40/x
  3. Step 3: Cross multiply
    6,113.36x = 9,167.74 × 2,416.40
  4. Step 4: Simplify right side
    6,113.36x = 22,152,926.94
  5. Step 5: Solve for x
    x = 22,152,926.94/6,113.36
  6. Step 6: Final answer
    x = 3,623.69

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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.