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Finding the Fourth Proportional to 34,697.14, 52,054.62 and 9,737.26

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Solution

The fourth proportional to 34,697.14, 52,054.62 and 9,737.26 is: 14,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.14 : 52,054.62 = 9,737.26 : x
  2. Step 2: Convert to fraction form
    34,697.14/52,054.62 = 9,737.26/x
  3. Step 3: Cross multiply
    34,697.14x = 52,054.62 × 9,737.26
  4. Step 4: Simplify right side
    34,697.14x = 506,869,369.14
  5. Step 5: Solve for x
    x = 506,869,369.14/34,697.14
  6. Step 6: Final answer
    x = 14,608.39

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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.