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Finding the Fourth Proportional to 9,087.66, 12,533.46 and 6,407.80

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Solution

The fourth proportional to 9,087.66, 12,533.46 and 6,407.80 is: 8,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.66 : 12,533.46 = 6,407.80 : x
  2. Step 2: Convert to fraction form
    9,087.66/12,533.46 = 6,407.80/x
  3. Step 3: Cross multiply
    9,087.66x = 12,533.46 × 6,407.80
  4. Step 4: Simplify right side
    9,087.66x = 80,311,904.99
  5. Step 5: Solve for x
    x = 80,311,904.99/9,087.66
  6. Step 6: Final answer
    x = 8,837.47

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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.