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Finding the Fourth Proportional to 9,703.86, 14,557.98 and 3,464.52

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Solution

The fourth proportional to 9,703.86, 14,557.98 and 3,464.52 is: 5,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.86 : 14,557.98 = 3,464.52 : x
  2. Step 2: Convert to fraction form
    9,703.86/14,557.98 = 3,464.52/x
  3. Step 3: Cross multiply
    9,703.86x = 14,557.98 × 3,464.52
  4. Step 4: Simplify right side
    9,703.86x = 50,436,412.87
  5. Step 5: Solve for x
    x = 50,436,412.87/9,703.86
  6. Step 6: Final answer
    x = 5,197.56

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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.