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Finding the Fourth Proportional to 9,627.86, 13,285.97 and 5,378.07

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Solution

The fourth proportional to 9,627.86, 13,285.97 and 5,378.07 is: 7,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.86 : 13,285.97 = 5,378.07 : x
  2. Step 2: Convert to fraction form
    9,627.86/13,285.97 = 5,378.07/x
  3. Step 3: Cross multiply
    9,627.86x = 13,285.97 × 5,378.07
  4. Step 4: Simplify right side
    9,627.86x = 71,452,849.79
  5. Step 5: Solve for x
    x = 71,452,849.79/9,627.86
  6. Step 6: Final answer
    x = 7,421.47

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