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Finding the Fourth Proportional to 9,352.62, 14,027.64 and 4,157.28

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Solution

The fourth proportional to 9,352.62, 14,027.64 and 4,157.28 is: 6,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.62 : 14,027.64 = 4,157.28 : x
  2. Step 2: Convert to fraction form
    9,352.62/14,027.64 = 4,157.28/x
  3. Step 3: Cross multiply
    9,352.62x = 14,027.64 × 4,157.28
  4. Step 4: Simplify right side
    9,352.62x = 58,316,827.22
  5. Step 5: Solve for x
    x = 58,316,827.22/9,352.62
  6. Step 6: Final answer
    x = 6,235.35

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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.