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Finding the Fourth Proportional to 9,640.42, 13,302.02 and 5,812.16

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Solution

The fourth proportional to 9,640.42, 13,302.02 and 5,812.16 is: 8,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.42 : 13,302.02 = 5,812.16 : x
  2. Step 2: Convert to fraction form
    9,640.42/13,302.02 = 5,812.16/x
  3. Step 3: Cross multiply
    9,640.42x = 13,302.02 × 5,812.16
  4. Step 4: Simplify right side
    9,640.42x = 77,313,416.58
  5. Step 5: Solve for x
    x = 77,313,416.58/9,640.42
  6. Step 6: Final answer
    x = 8,019.72

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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.