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Finding the Fourth Proportional to 9,321.16, 13,973.82 and 4,124.20

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Solution

The fourth proportional to 9,321.16, 13,973.82 and 4,124.20 is: 6,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.16 : 13,973.82 = 4,124.20 : x
  2. Step 2: Convert to fraction form
    9,321.16/13,973.82 = 4,124.20/x
  3. Step 3: Cross multiply
    9,321.16x = 13,973.82 × 4,124.20
  4. Step 4: Simplify right side
    9,321.16x = 57,630,828.44
  5. Step 5: Solve for x
    x = 57,630,828.44/9,321.16
  6. Step 6: Final answer
    x = 6,182.80

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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.