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Finding the Fourth Proportional to 9,984.16, 14,985.44 and 5,057.23

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Solution

The fourth proportional to 9,984.16, 14,985.44 and 5,057.23 is: 7,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.16 : 14,985.44 = 5,057.23 : x
  2. Step 2: Convert to fraction form
    9,984.16/14,985.44 = 5,057.23/x
  3. Step 3: Cross multiply
    9,984.16x = 14,985.44 × 5,057.23
  4. Step 4: Simplify right side
    9,984.16x = 75,784,816.73
  5. Step 5: Solve for x
    x = 75,784,816.73/9,984.16
  6. Step 6: Final answer
    x = 7,590.51

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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.