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Finding the Fourth Proportional to 9,571.59, 14,364.41 and 6,283.53

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Solution

The fourth proportional to 9,571.59, 14,364.41 and 6,283.53 is: 9,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.59 : 14,364.41 = 6,283.53 : x
  2. Step 2: Convert to fraction form
    9,571.59/14,364.41 = 6,283.53/x
  3. Step 3: Cross multiply
    9,571.59x = 14,364.41 × 6,283.53
  4. Step 4: Simplify right side
    9,571.59x = 90,259,169.75
  5. Step 5: Solve for x
    x = 90,259,169.75/9,571.59
  6. Step 6: Final answer
    x = 9,429.90

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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.