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Finding the Fourth Proportional to 6,407.25, 9,606.20 and 4,322.07

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Solution

The fourth proportional to 6,407.25, 9,606.20 and 4,322.07 is: 6,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.25 : 9,606.20 = 4,322.07 : x
  2. Step 2: Convert to fraction form
    6,407.25/9,606.20 = 4,322.07/x
  3. Step 3: Cross multiply
    6,407.25x = 9,606.20 × 4,322.07
  4. Step 4: Simplify right side
    6,407.25x = 41,518,647.22
  5. Step 5: Solve for x
    x = 41,518,647.22/6,407.25
  6. Step 6: Final answer
    x = 6,479.95

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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.