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Finding the Fourth Proportional to 9,768.30, 13,480.16 and 5,291.78

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Solution

The fourth proportional to 9,768.30, 13,480.16 and 5,291.78 is: 7,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.30 : 13,480.16 = 5,291.78 : x
  2. Step 2: Convert to fraction form
    9,768.30/13,480.16 = 5,291.78/x
  3. Step 3: Cross multiply
    9,768.30x = 13,480.16 × 5,291.78
  4. Step 4: Simplify right side
    9,768.30x = 71,334,041.08
  5. Step 5: Solve for x
    x = 71,334,041.08/9,768.30
  6. Step 6: Final answer
    x = 7,302.61

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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.