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Finding the Fourth Proportional to 10,366.84, 14,308.22 and 6,335.47

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Solution

The fourth proportional to 10,366.84, 14,308.22 and 6,335.47 is: 8,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.84 : 14,308.22 = 6,335.47 : x
  2. Step 2: Convert to fraction form
    10,366.84/14,308.22 = 6,335.47/x
  3. Step 3: Cross multiply
    10,366.84x = 14,308.22 × 6,335.47
  4. Step 4: Simplify right side
    10,366.84x = 90,649,233.99
  5. Step 5: Solve for x
    x = 90,649,233.99/10,366.84
  6. Step 6: Final answer
    x = 8,744.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.