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Finding the Fourth Proportional to 9,806.04, 13,532.06 and 5,329.64

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Solution

The fourth proportional to 9,806.04, 13,532.06 and 5,329.64 is: 7,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.04 : 13,532.06 = 5,329.64 : x
  2. Step 2: Convert to fraction form
    9,806.04/13,532.06 = 5,329.64/x
  3. Step 3: Cross multiply
    9,806.04x = 13,532.06 × 5,329.64
  4. Step 4: Simplify right side
    9,806.04x = 72,121,008.26
  5. Step 5: Solve for x
    x = 72,121,008.26/9,806.04
  6. Step 6: Final answer
    x = 7,354.75

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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.