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Finding the Fourth Proportional to 9,421.84, 14,116.74 and 6,943.24

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Solution

The fourth proportional to 9,421.84, 14,116.74 and 6,943.24 is: 10,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.84 : 14,116.74 = 6,943.24 : x
  2. Step 2: Convert to fraction form
    9,421.84/14,116.74 = 6,943.24/x
  3. Step 3: Cross multiply
    9,421.84x = 14,116.74 × 6,943.24
  4. Step 4: Simplify right side
    9,421.84x = 98,015,913.84
  5. Step 5: Solve for x
    x = 98,015,913.84/9,421.84
  6. Step 6: Final answer
    x = 10,403.05

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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.