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Finding the Fourth Proportional to 9,219.42, 13,828.73 and 4,287.33

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Solution

The fourth proportional to 9,219.42, 13,828.73 and 4,287.33 is: 6,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.42 : 13,828.73 = 4,287.33 : x
  2. Step 2: Convert to fraction form
    9,219.42/13,828.73 = 4,287.33/x
  3. Step 3: Cross multiply
    9,219.42x = 13,828.73 × 4,287.33
  4. Step 4: Simplify right side
    9,219.42x = 59,288,307.55
  5. Step 5: Solve for x
    x = 59,288,307.55/9,219.42
  6. Step 6: Final answer
    x = 6,430.81

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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.