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Finding the Fourth Proportional to 9,816.12, 13,545.02 and 6,636.34

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Solution

The fourth proportional to 9,816.12, 13,545.02 and 6,636.34 is: 9,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.12 : 13,545.02 = 6,636.34 : x
  2. Step 2: Convert to fraction form
    9,816.12/13,545.02 = 6,636.34/x
  3. Step 3: Cross multiply
    9,816.12x = 13,545.02 × 6,636.34
  4. Step 4: Simplify right side
    9,816.12x = 89,889,340.76
  5. Step 5: Solve for x
    x = 89,889,340.76/9,816.12
  6. Step 6: Final answer
    x = 9,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.