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Finding the Fourth Proportional to 9,596.47, 14,395.22 and 3,023.17

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Solution

The fourth proportional to 9,596.47, 14,395.22 and 3,023.17 is: 4,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.47 : 14,395.22 = 3,023.17 : x
  2. Step 2: Convert to fraction form
    9,596.47/14,395.22 = 3,023.17/x
  3. Step 3: Cross multiply
    9,596.47x = 14,395.22 × 3,023.17
  4. Step 4: Simplify right side
    9,596.47x = 43,519,240.79
  5. Step 5: Solve for x
    x = 43,519,240.79/9,596.47
  6. Step 6: Final answer
    x = 4,534.92

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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.