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Finding the Fourth Proportional to 9,542.61, 14,323.03 and 5,852.05

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Solution

The fourth proportional to 9,542.61, 14,323.03 and 5,852.05 is: 8,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.61 : 14,323.03 = 5,852.05 : x
  2. Step 2: Convert to fraction form
    9,542.61/14,323.03 = 5,852.05/x
  3. Step 3: Cross multiply
    9,542.61x = 14,323.03 × 5,852.05
  4. Step 4: Simplify right side
    9,542.61x = 83,819,037.27
  5. Step 5: Solve for x
    x = 83,819,037.27/9,542.61
  6. Step 6: Final answer
    x = 8,783.66

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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.