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Finding the Fourth Proportional to 9,468.86, 14,206.44 and 4,203.14

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Solution

The fourth proportional to 9,468.86, 14,206.44 and 4,203.14 is: 6,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.86 : 14,206.44 = 4,203.14 : x
  2. Step 2: Convert to fraction form
    9,468.86/14,206.44 = 4,203.14/x
  3. Step 3: Cross multiply
    9,468.86x = 14,206.44 × 4,203.14
  4. Step 4: Simplify right side
    9,468.86x = 59,711,656.22
  5. Step 5: Solve for x
    x = 59,711,656.22/9,468.86
  6. Step 6: Final answer
    x = 6,306.11

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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.