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Finding the Fourth Proportional to 6,397.95, 9,605.75 and 4,418.93

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Solution

The fourth proportional to 6,397.95, 9,605.75 and 4,418.93 is: 6,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.95 : 9,605.75 = 4,418.93 : x
  2. Step 2: Convert to fraction form
    6,397.95/9,605.75 = 4,418.93/x
  3. Step 3: Cross multiply
    6,397.95x = 9,605.75 × 4,418.93
  4. Step 4: Simplify right side
    6,397.95x = 42,447,066.72
  5. Step 5: Solve for x
    x = 42,447,066.72/6,397.95
  6. Step 6: Final answer
    x = 6,634.48

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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.