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Finding the Fourth Proportional to 9,188.70, 13,788.48 and 3,345.78

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Solution

The fourth proportional to 9,188.70, 13,788.48 and 3,345.78 is: 5,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.70 : 13,788.48 = 3,345.78 : x
  2. Step 2: Convert to fraction form
    9,188.70/13,788.48 = 3,345.78/x
  3. Step 3: Cross multiply
    9,188.70x = 13,788.48 × 3,345.78
  4. Step 4: Simplify right side
    9,188.70x = 46,133,220.61
  5. Step 5: Solve for x
    x = 46,133,220.61/9,188.70
  6. Step 6: Final answer
    x = 5,020.65

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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.