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Finding the Fourth Proportional to 9,927.46, 13,700.06 and 5,451.63

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Solution

The fourth proportional to 9,927.46, 13,700.06 and 5,451.63 is: 7,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.46 : 13,700.06 = 5,451.63 : x
  2. Step 2: Convert to fraction form
    9,927.46/13,700.06 = 5,451.63/x
  3. Step 3: Cross multiply
    9,927.46x = 13,700.06 × 5,451.63
  4. Step 4: Simplify right side
    9,927.46x = 74,687,658.10
  5. Step 5: Solve for x
    x = 74,687,658.10/9,927.46
  6. Step 6: Final answer
    x = 7,523.34

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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.