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Finding the Fourth Proportional to 9,395.30, 12,965.17 and 5,416.58

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Solution

The fourth proportional to 9,395.30, 12,965.17 and 5,416.58 is: 7,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.30 : 12,965.17 = 5,416.58 : x
  2. Step 2: Convert to fraction form
    9,395.30/12,965.17 = 5,416.58/x
  3. Step 3: Cross multiply
    9,395.30x = 12,965.17 × 5,416.58
  4. Step 4: Simplify right side
    9,395.30x = 70,226,880.52
  5. Step 5: Solve for x
    x = 70,226,880.52/9,395.30
  6. Step 6: Final answer
    x = 7,474.68

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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.