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Finding the Fourth Proportional to 10,338.84, 14,264.10 and 6,805.62

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Solution

The fourth proportional to 10,338.84, 14,264.10 and 6,805.62 is: 9,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.84 : 14,264.10 = 6,805.62 : x
  2. Step 2: Convert to fraction form
    10,338.84/14,264.10 = 6,805.62/x
  3. Step 3: Cross multiply
    10,338.84x = 14,264.10 × 6,805.62
  4. Step 4: Simplify right side
    10,338.84x = 97,076,044.24
  5. Step 5: Solve for x
    x = 97,076,044.24/10,338.84
  6. Step 6: Final answer
    x = 9,389.45

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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.