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Finding the Fourth Proportional to 9,923.32, 13,693.68 and 5,946.64

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Solution

The fourth proportional to 9,923.32, 13,693.68 and 5,946.64 is: 8,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.32 : 13,693.68 = 5,946.64 : x
  2. Step 2: Convert to fraction form
    9,923.32/13,693.68 = 5,946.64/x
  3. Step 3: Cross multiply
    9,923.32x = 13,693.68 × 5,946.64
  4. Step 4: Simplify right side
    9,923.32x = 81,431,385.24
  5. Step 5: Solve for x
    x = 81,431,385.24/9,923.32
  6. Step 6: Final answer
    x = 8,206.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.