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Finding the Fourth Proportional to 9,438.56, 14,162.16 and 6,670.88

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Solution

The fourth proportional to 9,438.56, 14,162.16 and 6,670.88 is: 10,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.56 : 14,162.16 = 6,670.88 : x
  2. Step 2: Convert to fraction form
    9,438.56/14,162.16 = 6,670.88/x
  3. Step 3: Cross multiply
    9,438.56x = 14,162.16 × 6,670.88
  4. Step 4: Simplify right side
    9,438.56x = 94,474,069.90
  5. Step 5: Solve for x
    x = 94,474,069.90/9,438.56
  6. Step 6: Final answer
    x = 10,009.37

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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.