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Finding the Fourth Proportional to 6,700.94, 9,247.66 and 4,048.32

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Solution

The fourth proportional to 6,700.94, 9,247.66 and 4,048.32 is: 5,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.94 : 9,247.66 = 4,048.32 : x
  2. Step 2: Convert to fraction form
    6,700.94/9,247.66 = 4,048.32/x
  3. Step 3: Cross multiply
    6,700.94x = 9,247.66 × 4,048.32
  4. Step 4: Simplify right side
    6,700.94x = 37,437,486.93
  5. Step 5: Solve for x
    x = 37,437,486.93/6,700.94
  6. Step 6: Final answer
    x = 5,586.90

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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.