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Finding the Fourth Proportional to 9,488.36, 14,216.13 and 7,380.64

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Solution

The fourth proportional to 9,488.36, 14,216.13 and 7,380.64 is: 11,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.36 : 14,216.13 = 7,380.64 : x
  2. Step 2: Convert to fraction form
    9,488.36/14,216.13 = 7,380.64/x
  3. Step 3: Cross multiply
    9,488.36x = 14,216.13 × 7,380.64
  4. Step 4: Simplify right side
    9,488.36x = 104,924,137.72
  5. Step 5: Solve for x
    x = 104,924,137.72/9,488.36
  6. Step 6: Final answer
    x = 11,058.20

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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.