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Finding the Fourth Proportional to 6,277.74, 9,416.70 and 2,991.18

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Solution

The fourth proportional to 6,277.74, 9,416.70 and 2,991.18 is: 4,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.74 : 9,416.70 = 2,991.18 : x
  2. Step 2: Convert to fraction form
    6,277.74/9,416.70 = 2,991.18/x
  3. Step 3: Cross multiply
    6,277.74x = 9,416.70 × 2,991.18
  4. Step 4: Simplify right side
    6,277.74x = 28,167,044.71
  5. Step 5: Solve for x
    x = 28,167,044.71/6,277.74
  6. Step 6: Final answer
    x = 4,486.81

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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.