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Finding the Fourth Proportional to 9,661.20, 13,330.70 and 5,683.10

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Solution

The fourth proportional to 9,661.20, 13,330.70 and 5,683.10 is: 7,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.20 : 13,330.70 = 5,683.10 : x
  2. Step 2: Convert to fraction form
    9,661.20/13,330.70 = 5,683.10/x
  3. Step 3: Cross multiply
    9,661.20x = 13,330.70 × 5,683.10
  4. Step 4: Simplify right side
    9,661.20x = 75,759,701.17
  5. Step 5: Solve for x
    x = 75,759,701.17/9,661.20
  6. Step 6: Final answer
    x = 7,841.65

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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.