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Finding the Fourth Proportional to 25,266.94, 37,900.25 and 6,546.93

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Solution

The fourth proportional to 25,266.94, 37,900.25 and 6,546.93 is: 9,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,266.94 : 37,900.25 = 6,546.93 : x
  2. Step 2: Convert to fraction form
    25,266.94/37,900.25 = 6,546.93/x
  3. Step 3: Cross multiply
    25,266.94x = 37,900.25 × 6,546.93
  4. Step 4: Simplify right side
    25,266.94x = 248,130,170.25
  5. Step 5: Solve for x
    x = 248,130,170.25/25,266.94
  6. Step 6: Final answer
    x = 9,820.35

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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.