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Finding the Fourth Proportional to 9,458.48, 14,188.66 and 3,620

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Solution

The fourth proportional to 9,458.48, 14,188.66 and 3,620 is: 5,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.48 : 14,188.66 = 3,620 : x
  2. Step 2: Convert to fraction form
    9,458.48/14,188.66 = 3,620/x
  3. Step 3: Cross multiply
    9,458.48x = 14,188.66 × 3,620
  4. Step 4: Simplify right side
    9,458.48x = 51,362,949.20
  5. Step 5: Solve for x
    x = 51,362,949.20/9,458.48
  6. Step 6: Final answer
    x = 5,430.36

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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.