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Finding the Fourth Proportional to 6,186.32, 9,279.48 and 1,506.30

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Solution

The fourth proportional to 6,186.32, 9,279.48 and 1,506.30 is: 2,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.32 : 9,279.48 = 1,506.30 : x
  2. Step 2: Convert to fraction form
    6,186.32/9,279.48 = 1,506.30/x
  3. Step 3: Cross multiply
    6,186.32x = 9,279.48 × 1,506.30
  4. Step 4: Simplify right side
    6,186.32x = 13,977,680.72
  5. Step 5: Solve for x
    x = 13,977,680.72/6,186.32
  6. Step 6: Final answer
    x = 2,259.45

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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.