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Finding the Fourth Proportional to 9,565.30, 14,350.79 and 4,571.40

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Solution

The fourth proportional to 9,565.30, 14,350.79 and 4,571.40 is: 6,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.30 : 14,350.79 = 4,571.40 : x
  2. Step 2: Convert to fraction form
    9,565.30/14,350.79 = 4,571.40/x
  3. Step 3: Cross multiply
    9,565.30x = 14,350.79 × 4,571.40
  4. Step 4: Simplify right side
    9,565.30x = 65,603,201.41
  5. Step 5: Solve for x
    x = 65,603,201.41/9,565.30
  6. Step 6: Final answer
    x = 6,858.46

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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.