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Finding the Fourth Proportional to 9,384.22, 12,950.58 and 5,193.28

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Solution

The fourth proportional to 9,384.22, 12,950.58 and 5,193.28 is: 7,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.22 : 12,950.58 = 5,193.28 : x
  2. Step 2: Convert to fraction form
    9,384.22/12,950.58 = 5,193.28/x
  3. Step 3: Cross multiply
    9,384.22x = 12,950.58 × 5,193.28
  4. Step 4: Simplify right side
    9,384.22x = 67,255,988.10
  5. Step 5: Solve for x
    x = 67,255,988.10/9,384.22
  6. Step 6: Final answer
    x = 7,166.92

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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.