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Finding the Fourth Proportional to 9,483.27, 14,212.67 and 4,542.63

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Solution

The fourth proportional to 9,483.27, 14,212.67 and 4,542.63 is: 6,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.27 : 14,212.67 = 4,542.63 : x
  2. Step 2: Convert to fraction form
    9,483.27/14,212.67 = 4,542.63/x
  3. Step 3: Cross multiply
    9,483.27x = 14,212.67 × 4,542.63
  4. Step 4: Simplify right side
    9,483.27x = 64,562,878.41
  5. Step 5: Solve for x
    x = 64,562,878.41/9,483.27
  6. Step 6: Final answer
    x = 6,808.08

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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.