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Finding the Fourth Proportional to 6,441.95, 9,585.75 and 6,420.08

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Solution

The fourth proportional to 6,441.95, 9,585.75 and 6,420.08 is: 9,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.95 : 9,585.75 = 6,420.08 : x
  2. Step 2: Convert to fraction form
    6,441.95/9,585.75 = 6,420.08/x
  3. Step 3: Cross multiply
    6,441.95x = 9,585.75 × 6,420.08
  4. Step 4: Simplify right side
    6,441.95x = 61,541,233.93
  5. Step 5: Solve for x
    x = 61,541,233.93/6,441.95
  6. Step 6: Final answer
    x = 9,553.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.