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Finding the Fourth Proportional to 10,464.57, 14,437.85 and 6,427.16

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Solution

The fourth proportional to 10,464.57, 14,437.85 and 6,427.16 is: 8,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.57 : 14,437.85 = 6,427.16 : x
  2. Step 2: Convert to fraction form
    10,464.57/14,437.85 = 6,427.16/x
  3. Step 3: Cross multiply
    10,464.57x = 14,437.85 × 6,427.16
  4. Step 4: Simplify right side
    10,464.57x = 92,794,342.13
  5. Step 5: Solve for x
    x = 92,794,342.13/10,464.57
  6. Step 6: Final answer
    x = 8,867.48

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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.