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Finding the Fourth Proportional to 9,693.69, 13,377.71 and 5,502.33

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Solution

The fourth proportional to 9,693.69, 13,377.71 and 5,502.33 is: 7,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.69 : 13,377.71 = 5,502.33 : x
  2. Step 2: Convert to fraction form
    9,693.69/13,377.71 = 5,502.33/x
  3. Step 3: Cross multiply
    9,693.69x = 13,377.71 × 5,502.33
  4. Step 4: Simplify right side
    9,693.69x = 73,608,547.55
  5. Step 5: Solve for x
    x = 73,608,547.55/9,693.69
  6. Step 6: Final answer
    x = 7,593.45

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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.