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Finding the Fourth Proportional to 9,802.21, 14,703.17 and 2,406.64

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Solution

The fourth proportional to 9,802.21, 14,703.17 and 2,406.64 is: 3,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.21 : 14,703.17 = 2,406.64 : x
  2. Step 2: Convert to fraction form
    9,802.21/14,703.17 = 2,406.64/x
  3. Step 3: Cross multiply
    9,802.21x = 14,703.17 × 2,406.64
  4. Step 4: Simplify right side
    9,802.21x = 35,385,206.31
  5. Step 5: Solve for x
    x = 35,385,206.31/9,802.21
  6. Step 6: Final answer
    x = 3,609.92

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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.