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Finding the Fourth Proportional to 9,768.42, 13,480.43 and 5,292.16

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Solution

The fourth proportional to 9,768.42, 13,480.43 and 5,292.16 is: 7,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.42 : 13,480.43 = 5,292.16 : x
  2. Step 2: Convert to fraction form
    9,768.42/13,480.43 = 5,292.16/x
  3. Step 3: Cross multiply
    9,768.42x = 13,480.43 × 5,292.16
  4. Step 4: Simplify right side
    9,768.42x = 71,340,532.27
  5. Step 5: Solve for x
    x = 71,340,532.27/9,768.42
  6. Step 6: Final answer
    x = 7,303.18

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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.