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Finding the Fourth Proportional to 9,565.90, 14,350.82 and 4,015.98

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Solution

The fourth proportional to 9,565.90, 14,350.82 and 4,015.98 is: 6,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.90 : 14,350.82 = 4,015.98 : x
  2. Step 2: Convert to fraction form
    9,565.90/14,350.82 = 4,015.98/x
  3. Step 3: Cross multiply
    9,565.90x = 14,350.82 × 4,015.98
  4. Step 4: Simplify right side
    9,565.90x = 57,632,606.10
  5. Step 5: Solve for x
    x = 57,632,606.10/9,565.90
  6. Step 6: Final answer
    x = 6,024.80

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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.