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Finding the Fourth Proportional to 9,574.27, 14,346.74 and 6,442.67

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Solution

The fourth proportional to 9,574.27, 14,346.74 and 6,442.67 is: 9,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.27 : 14,346.74 = 6,442.67 : x
  2. Step 2: Convert to fraction form
    9,574.27/14,346.74 = 6,442.67/x
  3. Step 3: Cross multiply
    9,574.27x = 14,346.74 × 6,442.67
  4. Step 4: Simplify right side
    9,574.27x = 92,431,311.40
  5. Step 5: Solve for x
    x = 92,431,311.40/9,574.27
  6. Step 6: Final answer
    x = 9,654.14

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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.