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Finding the Fourth Proportional to 9,806.24, 14,705.10 and 3,564.18

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Solution

The fourth proportional to 9,806.24, 14,705.10 and 3,564.18 is: 5,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.24 : 14,705.10 = 3,564.18 : x
  2. Step 2: Convert to fraction form
    9,806.24/14,705.10 = 3,564.18/x
  3. Step 3: Cross multiply
    9,806.24x = 14,705.10 × 3,564.18
  4. Step 4: Simplify right side
    9,806.24x = 52,411,623.32
  5. Step 5: Solve for x
    x = 52,411,623.32/9,806.24
  6. Step 6: Final answer
    x = 5,344.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.