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Finding the Fourth Proportional to 9,512.35, 14,270.95 and 5,566.93

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Solution

The fourth proportional to 9,512.35, 14,270.95 and 5,566.93 is: 8,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.35 : 14,270.95 = 5,566.93 : x
  2. Step 2: Convert to fraction form
    9,512.35/14,270.95 = 5,566.93/x
  3. Step 3: Cross multiply
    9,512.35x = 14,270.95 × 5,566.93
  4. Step 4: Simplify right side
    9,512.35x = 79,445,347.04
  5. Step 5: Solve for x
    x = 79,445,347.04/9,512.35
  6. Step 6: Final answer
    x = 8,351.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.