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Finding the Fourth Proportional to 10,298.40, 14,223.47 and 6,935.37

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Solution

The fourth proportional to 10,298.40, 14,223.47 and 6,935.37 is: 9,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.40 : 14,223.47 = 6,935.37 : x
  2. Step 2: Convert to fraction form
    10,298.40/14,223.47 = 6,935.37/x
  3. Step 3: Cross multiply
    10,298.40x = 14,223.47 × 6,935.37
  4. Step 4: Simplify right side
    10,298.40x = 98,645,027.13
  5. Step 5: Solve for x
    x = 98,645,027.13/10,298.40
  6. Step 6: Final answer
    x = 9,578.68

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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.