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Finding the Fourth Proportional to 9,410.99, 14,112.02 and 5,463.47

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Solution

The fourth proportional to 9,410.99, 14,112.02 and 5,463.47 is: 8,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.99 : 14,112.02 = 5,463.47 : x
  2. Step 2: Convert to fraction form
    9,410.99/14,112.02 = 5,463.47/x
  3. Step 3: Cross multiply
    9,410.99x = 14,112.02 × 5,463.47
  4. Step 4: Simplify right side
    9,410.99x = 77,100,541.01
  5. Step 5: Solve for x
    x = 77,100,541.01/9,410.99
  6. Step 6: Final answer
    x = 8,192.60

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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.