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Finding the Fourth Proportional to 6,403.12, 9,603.86 and 1,723.52

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Solution

The fourth proportional to 6,403.12, 9,603.86 and 1,723.52 is: 2,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.12 : 9,603.86 = 1,723.52 : x
  2. Step 2: Convert to fraction form
    6,403.12/9,603.86 = 1,723.52/x
  3. Step 3: Cross multiply
    6,403.12x = 9,603.86 × 1,723.52
  4. Step 4: Simplify right side
    6,403.12x = 16,552,444.79
  5. Step 5: Solve for x
    x = 16,552,444.79/6,403.12
  6. Step 6: Final answer
    x = 2,585.06

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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.