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Finding the Fourth Proportional to 9,187.38, 12,678.93 and 5,460.66

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Solution

The fourth proportional to 9,187.38, 12,678.93 and 5,460.66 is: 7,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.38 : 12,678.93 = 5,460.66 : x
  2. Step 2: Convert to fraction form
    9,187.38/12,678.93 = 5,460.66/x
  3. Step 3: Cross multiply
    9,187.38x = 12,678.93 × 5,460.66
  4. Step 4: Simplify right side
    9,187.38x = 69,235,325.89
  5. Step 5: Solve for x
    x = 69,235,325.89/9,187.38
  6. Step 6: Final answer
    x = 7,535.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.