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Finding the Fourth Proportional to 9,097.47, 13,649.54 and 3,833.81

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Solution

The fourth proportional to 9,097.47, 13,649.54 and 3,833.81 is: 5,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.47 : 13,649.54 = 3,833.81 : x
  2. Step 2: Convert to fraction form
    9,097.47/13,649.54 = 3,833.81/x
  3. Step 3: Cross multiply
    9,097.47x = 13,649.54 × 3,833.81
  4. Step 4: Simplify right side
    9,097.47x = 52,329,684.28
  5. Step 5: Solve for x
    x = 52,329,684.28/9,097.47
  6. Step 6: Final answer
    x = 5,752.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.