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Finding the Fourth Proportional to 6,283.24, 9,423.63 and 5,970.98

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Solution

The fourth proportional to 6,283.24, 9,423.63 and 5,970.98 is: 8,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.24 : 9,423.63 = 5,970.98 : x
  2. Step 2: Convert to fraction form
    6,283.24/9,423.63 = 5,970.98/x
  3. Step 3: Cross multiply
    6,283.24x = 9,423.63 × 5,970.98
  4. Step 4: Simplify right side
    6,283.24x = 56,268,306.26
  5. Step 5: Solve for x
    x = 56,268,306.26/6,283.24
  6. Step 6: Final answer
    x = 8,955.30

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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.