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Finding the Fourth Proportional to 26,097.12, 39,145.52 and 6,375.78

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Solution

The fourth proportional to 26,097.12, 39,145.52 and 6,375.78 is: 9,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097.12 : 39,145.52 = 6,375.78 : x
  2. Step 2: Convert to fraction form
    26,097.12/39,145.52 = 6,375.78/x
  3. Step 3: Cross multiply
    26,097.12x = 39,145.52 × 6,375.78
  4. Step 4: Simplify right side
    26,097.12x = 249,583,223.51
  5. Step 5: Solve for x
    x = 249,583,223.51/26,097.12
  6. Step 6: Final answer
    x = 9,563.63

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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.