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Finding the Fourth Proportional to 6,145.88, 9,156.98 and 6,084.43

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Solution

The fourth proportional to 6,145.88, 9,156.98 and 6,084.43 is: 9,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.88 : 9,156.98 = 6,084.43 : x
  2. Step 2: Convert to fraction form
    6,145.88/9,156.98 = 6,084.43/x
  3. Step 3: Cross multiply
    6,145.88x = 9,156.98 × 6,084.43
  4. Step 4: Simplify right side
    6,145.88x = 55,714,996.14
  5. Step 5: Solve for x
    x = 55,714,996.14/6,145.88
  6. Step 6: Final answer
    x = 9,065.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.