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Finding the Fourth Proportional to 9,833, 13,569.66 and 5,641.64

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Solution

The fourth proportional to 9,833, 13,569.66 and 5,641.64 is: 7,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 13,569.66 = 5,641.64 : x
  2. Step 2: Convert to fraction form
    9,833/13,569.66 = 5,641.64/x
  3. Step 3: Cross multiply
    9,833x = 13,569.66 × 5,641.64
  4. Step 4: Simplify right side
    9,833x = 76,555,136.64
  5. Step 5: Solve for x
    x = 76,555,136.64/9,833
  6. Step 6: Final answer
    x = 7,785.53

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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.