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Finding the Fourth Proportional to 6,186.10, 9,279.09 and 1,569.10

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Solution

The fourth proportional to 6,186.10, 9,279.09 and 1,569.10 is: 2,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.10 : 9,279.09 = 1,569.10 : x
  2. Step 2: Convert to fraction form
    6,186.10/9,279.09 = 1,569.10/x
  3. Step 3: Cross multiply
    6,186.10x = 9,279.09 × 1,569.10
  4. Step 4: Simplify right side
    6,186.10x = 14,559,820.12
  5. Step 5: Solve for x
    x = 14,559,820.12/6,186.10
  6. Step 6: Final answer
    x = 2,353.63

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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.