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Finding the Fourth Proportional to 9,971.24, 14,959.43 and 4,423.24

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Solution

The fourth proportional to 9,971.24, 14,959.43 and 4,423.24 is: 6,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.24 : 14,959.43 = 4,423.24 : x
  2. Step 2: Convert to fraction form
    9,971.24/14,959.43 = 4,423.24/x
  3. Step 3: Cross multiply
    9,971.24x = 14,959.43 × 4,423.24
  4. Step 4: Simplify right side
    9,971.24x = 66,169,187.20
  5. Step 5: Solve for x
    x = 66,169,187.20/9,971.24
  6. Step 6: Final answer
    x = 6,636.01

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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.