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Finding the Fourth Proportional to 9,901.53, 14,815.38 and 9,790.81

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Solution

The fourth proportional to 9,901.53, 14,815.38 and 9,790.81 is: 14,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.53 : 14,815.38 = 9,790.81 : x
  2. Step 2: Convert to fraction form
    9,901.53/14,815.38 = 9,790.81/x
  3. Step 3: Cross multiply
    9,901.53x = 14,815.38 × 9,790.81
  4. Step 4: Simplify right side
    9,901.53x = 145,054,570.33
  5. Step 5: Solve for x
    x = 145,054,570.33/9,901.53
  6. Step 6: Final answer
    x = 14,649.71

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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.