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Finding the Fourth Proportional to 10,352.70, 14,284.62 and 9,997.14

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Solution

The fourth proportional to 10,352.70, 14,284.62 and 9,997.14 is: 13,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.70 : 14,284.62 = 9,997.14 : x
  2. Step 2: Convert to fraction form
    10,352.70/14,284.62 = 9,997.14/x
  3. Step 3: Cross multiply
    10,352.70x = 14,284.62 × 9,997.14
  4. Step 4: Simplify right side
    10,352.70x = 142,805,345.99
  5. Step 5: Solve for x
    x = 142,805,345.99/10,352.70
  6. Step 6: Final answer
    x = 13,794.02

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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.