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Finding the Fourth Proportional to 6,076.90, 9,116.64 and 1,918.11

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Solution

The fourth proportional to 6,076.90, 9,116.64 and 1,918.11 is: 2,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 9,116.64 = 1,918.11 : x
  2. Step 2: Convert to fraction form
    6,076.90/9,116.64 = 1,918.11/x
  3. Step 3: Cross multiply
    6,076.90x = 9,116.64 × 1,918.11
  4. Step 4: Simplify right side
    6,076.90x = 17,486,718.35
  5. Step 5: Solve for x
    x = 17,486,718.35/6,076.90
  6. Step 6: Final answer
    x = 2,877.57

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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.