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Finding the Fourth Proportional to 9,695.35, 14,531.27 and 4,423.14

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Solution

The fourth proportional to 9,695.35, 14,531.27 and 4,423.14 is: 6,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.35 : 14,531.27 = 4,423.14 : x
  2. Step 2: Convert to fraction form
    9,695.35/14,531.27 = 4,423.14/x
  3. Step 3: Cross multiply
    9,695.35x = 14,531.27 × 4,423.14
  4. Step 4: Simplify right side
    9,695.35x = 64,273,794.20
  5. Step 5: Solve for x
    x = 64,273,794.20/9,695.35
  6. Step 6: Final answer
    x = 6,629.34

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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.