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Finding the Fourth Proportional to 6,623.28, 9,125.67 and 4,944

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Solution

The fourth proportional to 6,623.28, 9,125.67 and 4,944 is: 6,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.28 : 9,125.67 = 4,944 : x
  2. Step 2: Convert to fraction form
    6,623.28/9,125.67 = 4,944/x
  3. Step 3: Cross multiply
    6,623.28x = 9,125.67 × 4,944
  4. Step 4: Simplify right side
    6,623.28x = 45,117,312.48
  5. Step 5: Solve for x
    x = 45,117,312.48/6,623.28
  6. Step 6: Final answer
    x = 6,811.93

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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.