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Finding the Fourth Proportional to 9,806.65, 13,533.18 and 5,330.41

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Solution

The fourth proportional to 9,806.65, 13,533.18 and 5,330.41 is: 7,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.65 : 13,533.18 = 5,330.41 : x
  2. Step 2: Convert to fraction form
    9,806.65/13,533.18 = 5,330.41/x
  3. Step 3: Cross multiply
    9,806.65x = 13,533.18 × 5,330.41
  4. Step 4: Simplify right side
    9,806.65x = 72,137,330.34
  5. Step 5: Solve for x
    x = 72,137,330.34/9,806.65
  6. Step 6: Final answer
    x = 7,355.96

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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.