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Finding the Fourth Proportional to 9,565.06, 14,344.95 and 6,783.54

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Solution

The fourth proportional to 9,565.06, 14,344.95 and 6,783.54 is: 10,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.06 : 14,344.95 = 6,783.54 : x
  2. Step 2: Convert to fraction form
    9,565.06/14,344.95 = 6,783.54/x
  3. Step 3: Cross multiply
    9,565.06x = 14,344.95 × 6,783.54
  4. Step 4: Simplify right side
    9,565.06x = 97,309,542.12
  5. Step 5: Solve for x
    x = 97,309,542.12/9,565.06
  6. Step 6: Final answer
    x = 10,173.44

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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.