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Finding the Fourth Proportional to 6,403.32, 9,599.22 and 3,315.96

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Solution

The fourth proportional to 6,403.32, 9,599.22 and 3,315.96 is: 4,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.32 : 9,599.22 = 3,315.96 : x
  2. Step 2: Convert to fraction form
    6,403.32/9,599.22 = 3,315.96/x
  3. Step 3: Cross multiply
    6,403.32x = 9,599.22 × 3,315.96
  4. Step 4: Simplify right side
    6,403.32x = 31,830,629.55
  5. Step 5: Solve for x
    x = 31,830,629.55/6,403.32
  6. Step 6: Final answer
    x = 4,970.96

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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.