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Finding the Fourth Proportional to 9,192.34, 12,684.76 and 5,655.61

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Solution

The fourth proportional to 9,192.34, 12,684.76 and 5,655.61 is: 7,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.34 : 12,684.76 = 5,655.61 : x
  2. Step 2: Convert to fraction form
    9,192.34/12,684.76 = 5,655.61/x
  3. Step 3: Cross multiply
    9,192.34x = 12,684.76 × 5,655.61
  4. Step 4: Simplify right side
    9,192.34x = 71,740,055.50
  5. Step 5: Solve for x
    x = 71,740,055.50/9,192.34
  6. Step 6: Final answer
    x = 7,804.33

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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.