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Finding the Fourth Proportional to 10,315.35, 14,209.02 and 9,600.12

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Solution

The fourth proportional to 10,315.35, 14,209.02 and 9,600.12 is: 13,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.35 : 14,209.02 = 9,600.12 : x
  2. Step 2: Convert to fraction form
    10,315.35/14,209.02 = 9,600.12/x
  3. Step 3: Cross multiply
    10,315.35x = 14,209.02 × 9,600.12
  4. Step 4: Simplify right side
    10,315.35x = 136,408,297.08
  5. Step 5: Solve for x
    x = 136,408,297.08/10,315.35
  6. Step 6: Final answer
    x = 13,223.82

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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.