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Finding the Fourth Proportional to 9,225.78, 12,727.74 and 5,870.44

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Solution

The fourth proportional to 9,225.78, 12,727.74 and 5,870.44 is: 8,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.78 : 12,727.74 = 5,870.44 : x
  2. Step 2: Convert to fraction form
    9,225.78/12,727.74 = 5,870.44/x
  3. Step 3: Cross multiply
    9,225.78x = 12,727.74 × 5,870.44
  4. Step 4: Simplify right side
    9,225.78x = 74,717,434.01
  5. Step 5: Solve for x
    x = 74,717,434.01/9,225.78
  6. Step 6: Final answer
    x = 8,098.77

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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.