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Finding the Fourth Proportional to 9,219.83, 13,829.94 and 9,044.87

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Solution

The fourth proportional to 9,219.83, 13,829.94 and 9,044.87 is: 13,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.83 : 13,829.94 = 9,044.87 : x
  2. Step 2: Convert to fraction form
    9,219.83/13,829.94 = 9,044.87/x
  3. Step 3: Cross multiply
    9,219.83x = 13,829.94 × 9,044.87
  4. Step 4: Simplify right side
    9,219.83x = 125,089,940.26
  5. Step 5: Solve for x
    x = 125,089,940.26/9,219.83
  6. Step 6: Final answer
    x = 13,567.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.