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Finding the Fourth Proportional to 10,356.04, 14,297.22 and 6,825.40

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Solution

The fourth proportional to 10,356.04, 14,297.22 and 6,825.40 is: 9,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.04 : 14,297.22 = 6,825.40 : x
  2. Step 2: Convert to fraction form
    10,356.04/14,297.22 = 6,825.40/x
  3. Step 3: Cross multiply
    10,356.04x = 14,297.22 × 6,825.40
  4. Step 4: Simplify right side
    10,356.04x = 97,584,245.39
  5. Step 5: Solve for x
    x = 97,584,245.39/10,356.04
  6. Step 6: Final answer
    x = 9,422.93

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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.