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Finding the Fourth Proportional to 9,192.94, 12,686.74 and 6,950.96

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Solution

The fourth proportional to 9,192.94, 12,686.74 and 6,950.96 is: 9,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.94 : 12,686.74 = 6,950.96 : x
  2. Step 2: Convert to fraction form
    9,192.94/12,686.74 = 6,950.96/x
  3. Step 3: Cross multiply
    9,192.94x = 12,686.74 × 6,950.96
  4. Step 4: Simplify right side
    9,192.94x = 88,184,987.52
  5. Step 5: Solve for x
    x = 88,184,987.52/9,192.94
  6. Step 6: Final answer
    x = 9,592.69

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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.