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Finding the Fourth Proportional to 9,737.44, 14,599.77 and 4,810.30

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Solution

The fourth proportional to 9,737.44, 14,599.77 and 4,810.30 is: 7,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.44 : 14,599.77 = 4,810.30 : x
  2. Step 2: Convert to fraction form
    9,737.44/14,599.77 = 4,810.30/x
  3. Step 3: Cross multiply
    9,737.44x = 14,599.77 × 4,810.30
  4. Step 4: Simplify right side
    9,737.44x = 70,229,273.63
  5. Step 5: Solve for x
    x = 70,229,273.63/9,737.44
  6. Step 6: Final answer
    x = 7,212.29

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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.