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Finding the Fourth Proportional to 9,418.74, 13,000.25 and 6,435.78

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Solution

The fourth proportional to 9,418.74, 13,000.25 and 6,435.78 is: 8,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.74 : 13,000.25 = 6,435.78 : x
  2. Step 2: Convert to fraction form
    9,418.74/13,000.25 = 6,435.78/x
  3. Step 3: Cross multiply
    9,418.74x = 13,000.25 × 6,435.78
  4. Step 4: Simplify right side
    9,418.74x = 83,666,748.95
  5. Step 5: Solve for x
    x = 83,666,748.95/9,418.74
  6. Step 6: Final answer
    x = 8,883.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.