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Finding the Fourth Proportional to 10,298.90, 14,224.16 and 6,935.87

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Solution

The fourth proportional to 10,298.90, 14,224.16 and 6,935.87 is: 9,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.90 : 14,224.16 = 6,935.87 : x
  2. Step 2: Convert to fraction form
    10,298.90/14,224.16 = 6,935.87/x
  3. Step 3: Cross multiply
    10,298.90x = 14,224.16 × 6,935.87
  4. Step 4: Simplify right side
    10,298.90x = 98,656,924.62
  5. Step 5: Solve for x
    x = 98,656,924.62/10,298.90
  6. Step 6: Final answer
    x = 9,579.37

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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.