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Finding the Fourth Proportional to 9,816.12, 14,700.24 and 7,473.60

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Solution

The fourth proportional to 9,816.12, 14,700.24 and 7,473.60 is: 11,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.12 : 14,700.24 = 7,473.60 : x
  2. Step 2: Convert to fraction form
    9,816.12/14,700.24 = 7,473.60/x
  3. Step 3: Cross multiply
    9,816.12x = 14,700.24 × 7,473.60
  4. Step 4: Simplify right side
    9,816.12x = 109,863,713.66
  5. Step 5: Solve for x
    x = 109,863,713.66/9,816.12
  6. Step 6: Final answer
    x = 11,192.17

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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.