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Finding the Fourth Proportional to 9,277.47, 12,794.22 and 7,395.30

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Solution

The fourth proportional to 9,277.47, 12,794.22 and 7,395.30 is: 10,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.47 : 12,794.22 = 7,395.30 : x
  2. Step 2: Convert to fraction form
    9,277.47/12,794.22 = 7,395.30/x
  3. Step 3: Cross multiply
    9,277.47x = 12,794.22 × 7,395.30
  4. Step 4: Simplify right side
    9,277.47x = 94,617,095.17
  5. Step 5: Solve for x
    x = 94,617,095.17/9,277.47
  6. Step 6: Final answer
    x = 10,198.59

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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.