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Finding the Fourth Proportional to 6,124.38, 9,186.59 and 1,507.38

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Solution

The fourth proportional to 6,124.38, 9,186.59 and 1,507.38 is: 2,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.38 : 9,186.59 = 1,507.38 : x
  2. Step 2: Convert to fraction form
    6,124.38/9,186.59 = 1,507.38/x
  3. Step 3: Cross multiply
    6,124.38x = 9,186.59 × 1,507.38
  4. Step 4: Simplify right side
    6,124.38x = 13,847,682.03
  5. Step 5: Solve for x
    x = 13,847,682.03/6,124.38
  6. Step 6: Final answer
    x = 2,261.07

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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.