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Finding the Fourth Proportional to 25,097.45, 37,645.97 and 6,377.54

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Solution

The fourth proportional to 25,097.45, 37,645.97 and 6,377.54 is: 9,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.45 : 37,645.97 = 6,377.54 : x
  2. Step 2: Convert to fraction form
    25,097.45/37,645.97 = 6,377.54/x
  3. Step 3: Cross multiply
    25,097.45x = 37,645.97 × 6,377.54
  4. Step 4: Simplify right side
    25,097.45x = 240,088,459.40
  5. Step 5: Solve for x
    x = 240,088,459.40/25,097.45
  6. Step 6: Final answer
    x = 9,566.25

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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.