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Finding the Fourth Proportional to 9,695.81, 14,534.46 and 3,117.38

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Solution

The fourth proportional to 9,695.81, 14,534.46 and 3,117.38 is: 4,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.81 : 14,534.46 = 3,117.38 : x
  2. Step 2: Convert to fraction form
    9,695.81/14,534.46 = 3,117.38/x
  3. Step 3: Cross multiply
    9,695.81x = 14,534.46 × 3,117.38
  4. Step 4: Simplify right side
    9,695.81x = 45,309,362.24
  5. Step 5: Solve for x
    x = 45,309,362.24/9,695.81
  6. Step 6: Final answer
    x = 4,673.09

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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.