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Finding the Fourth Proportional to 9,731.16, 14,577.32 and 7,502.20

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Solution

The fourth proportional to 9,731.16, 14,577.32 and 7,502.20 is: 11,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.16 : 14,577.32 = 7,502.20 : x
  2. Step 2: Convert to fraction form
    9,731.16/14,577.32 = 7,502.20/x
  3. Step 3: Cross multiply
    9,731.16x = 14,577.32 × 7,502.20
  4. Step 4: Simplify right side
    9,731.16x = 109,361,952.42
  5. Step 5: Solve for x
    x = 109,361,952.42/9,731.16
  6. Step 6: Final answer
    x = 11,238.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.