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Finding the Fourth Proportional to 9,200.18, 12,695.91 and 5,008.34

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Solution

The fourth proportional to 9,200.18, 12,695.91 and 5,008.34 is: 6,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.18 : 12,695.91 = 5,008.34 : x
  2. Step 2: Convert to fraction form
    9,200.18/12,695.91 = 5,008.34/x
  3. Step 3: Cross multiply
    9,200.18x = 12,695.91 × 5,008.34
  4. Step 4: Simplify right side
    9,200.18x = 63,585,433.89
  5. Step 5: Solve for x
    x = 63,585,433.89/9,200.18
  6. Step 6: Final answer
    x = 6,911.32

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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.