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Finding the Fourth Proportional to 10,315.36, 14,230.02 and 6,953.92

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Solution

The fourth proportional to 10,315.36, 14,230.02 and 6,953.92 is: 9,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.36 : 14,230.02 = 6,953.92 : x
  2. Step 2: Convert to fraction form
    10,315.36/14,230.02 = 6,953.92/x
  3. Step 3: Cross multiply
    10,315.36x = 14,230.02 × 6,953.92
  4. Step 4: Simplify right side
    10,315.36x = 98,954,420.68
  5. Step 5: Solve for x
    x = 98,954,420.68/10,315.36
  6. Step 6: Final answer
    x = 9,592.92

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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.