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Finding the Fourth Proportional to 35,398.29, 53,097.87 and 9,102.33

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Solution

The fourth proportional to 35,398.29, 53,097.87 and 9,102.33 is: 13,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398.29 : 53,097.87 = 9,102.33 : x
  2. Step 2: Convert to fraction form
    35,398.29/53,097.87 = 9,102.33/x
  3. Step 3: Cross multiply
    35,398.29x = 53,097.87 × 9,102.33
  4. Step 4: Simplify right side
    35,398.29x = 483,314,335.04
  5. Step 5: Solve for x
    x = 483,314,335.04/35,398.29
  6. Step 6: Final answer
    x = 13,653.61

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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.