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Finding the Fourth Proportional to 6,186.05, 9,278.95 and 1,506.09

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Solution

The fourth proportional to 6,186.05, 9,278.95 and 1,506.09 is: 2,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.05 : 9,278.95 = 1,506.09 : x
  2. Step 2: Convert to fraction form
    6,186.05/9,278.95 = 1,506.09/x
  3. Step 3: Cross multiply
    6,186.05x = 9,278.95 × 1,506.09
  4. Step 4: Simplify right side
    6,186.05x = 13,974,885.13
  5. Step 5: Solve for x
    x = 13,974,885.13/6,186.05
  6. Step 6: Final answer
    x = 2,259.10

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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.