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Finding the Fourth Proportional to 25,097.99, 37,648.25 and 6,378.21

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Solution

The fourth proportional to 25,097.99, 37,648.25 and 6,378.21 is: 9,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.99 : 37,648.25 = 6,378.21 : x
  2. Step 2: Convert to fraction form
    25,097.99/37,648.25 = 6,378.21/x
  3. Step 3: Cross multiply
    25,097.99x = 37,648.25 × 6,378.21
  4. Step 4: Simplify right side
    25,097.99x = 240,128,444.63
  5. Step 5: Solve for x
    x = 240,128,444.63/25,097.99
  6. Step 6: Final answer
    x = 9,567.64

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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.