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Finding the Fourth Proportional to 9,802.89, 14,704.90 and 3,562.87

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Solution

The fourth proportional to 9,802.89, 14,704.90 and 3,562.87 is: 5,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.89 : 14,704.90 = 3,562.87 : x
  2. Step 2: Convert to fraction form
    9,802.89/14,704.90 = 3,562.87/x
  3. Step 3: Cross multiply
    9,802.89x = 14,704.90 × 3,562.87
  4. Step 4: Simplify right side
    9,802.89x = 52,391,693.51
  5. Step 5: Solve for x
    x = 52,391,693.51/9,802.89
  6. Step 6: Final answer
    x = 5,344.52

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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.