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Finding the Fourth Proportional to 9,188.38, 13,788.72 and 3,345

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Solution

The fourth proportional to 9,188.38, 13,788.72 and 3,345 is: 5,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.38 : 13,788.72 = 3,345 : x
  2. Step 2: Convert to fraction form
    9,188.38/13,788.72 = 3,345/x
  3. Step 3: Cross multiply
    9,188.38x = 13,788.72 × 3,345
  4. Step 4: Simplify right side
    9,188.38x = 46,123,268.40
  5. Step 5: Solve for x
    x = 46,123,268.40/9,188.38
  6. Step 6: Final answer
    x = 5,019.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.