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Finding the Fourth Proportional to 10,297.50, 14,222.21 and 6,934.47

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Solution

The fourth proportional to 10,297.50, 14,222.21 and 6,934.47 is: 9,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.50 : 14,222.21 = 6,934.47 : x
  2. Step 2: Convert to fraction form
    10,297.50/14,222.21 = 6,934.47/x
  3. Step 3: Cross multiply
    10,297.50x = 14,222.21 × 6,934.47
  4. Step 4: Simplify right side
    10,297.50x = 98,623,460.08
  5. Step 5: Solve for x
    x = 98,623,460.08/10,297.50
  6. Step 6: Final answer
    x = 9,577.42

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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.