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Finding the Fourth Proportional to 9,802.26, 14,703.30 and 2,406.96

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Solution

The fourth proportional to 9,802.26, 14,703.30 and 2,406.96 is: 3,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.26 : 14,703.30 = 2,406.96 : x
  2. Step 2: Convert to fraction form
    9,802.26/14,703.30 = 2,406.96/x
  3. Step 3: Cross multiply
    9,802.26x = 14,703.30 × 2,406.96
  4. Step 4: Simplify right side
    9,802.26x = 35,390,254.97
  5. Step 5: Solve for x
    x = 35,390,254.97/9,802.26
  6. Step 6: Final answer
    x = 3,610.42

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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.