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Finding the Fourth Proportional to 9,189.47, 12,684.35 and 5,412.35

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Solution

The fourth proportional to 9,189.47, 12,684.35 and 5,412.35 is: 7,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.47 : 12,684.35 = 5,412.35 : x
  2. Step 2: Convert to fraction form
    9,189.47/12,684.35 = 5,412.35/x
  3. Step 3: Cross multiply
    9,189.47x = 12,684.35 × 5,412.35
  4. Step 4: Simplify right side
    9,189.47x = 68,652,141.72
  5. Step 5: Solve for x
    x = 68,652,141.72/9,189.47
  6. Step 6: Final answer
    x = 7,470.74

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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.