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Finding the Fourth Proportional to 9,852.20, 13,596.05 and 6,315.42

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Solution

The fourth proportional to 9,852.20, 13,596.05 and 6,315.42 is: 8,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.20 : 13,596.05 = 6,315.42 : x
  2. Step 2: Convert to fraction form
    9,852.20/13,596.05 = 6,315.42/x
  3. Step 3: Cross multiply
    9,852.20x = 13,596.05 × 6,315.42
  4. Step 4: Simplify right side
    9,852.20x = 85,864,756.39
  5. Step 5: Solve for x
    x = 85,864,756.39/9,852.20
  6. Step 6: Final answer
    x = 8,715.29

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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.