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Finding the Fourth Proportional to 9,802.58, 14,705.51 and 3,562.92

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Solution

The fourth proportional to 9,802.58, 14,705.51 and 3,562.92 is: 5,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.58 : 14,705.51 = 3,562.92 : x
  2. Step 2: Convert to fraction form
    9,802.58/14,705.51 = 3,562.92/x
  3. Step 3: Cross multiply
    9,802.58x = 14,705.51 × 3,562.92
  4. Step 4: Simplify right side
    9,802.58x = 52,394,537.87
  5. Step 5: Solve for x
    x = 52,394,537.87/9,802.58
  6. Step 6: Final answer
    x = 5,344.98

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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.