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Finding the Fourth Proportional to 9,209.84, 13,814.42 and 2,970.18

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Solution

The fourth proportional to 9,209.84, 13,814.42 and 2,970.18 is: 4,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.84 : 13,814.42 = 2,970.18 : x
  2. Step 2: Convert to fraction form
    9,209.84/13,814.42 = 2,970.18/x
  3. Step 3: Cross multiply
    9,209.84x = 13,814.42 × 2,970.18
  4. Step 4: Simplify right side
    9,209.84x = 41,031,299.14
  5. Step 5: Solve for x
    x = 41,031,299.14/9,209.84
  6. Step 6: Final answer
    x = 4,455.16

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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.