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Finding the Fourth Proportional to 9,128.60, 13,698.30 and 6,017.60

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Solution

The fourth proportional to 9,128.60, 13,698.30 and 6,017.60 is: 9,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.60 : 13,698.30 = 6,017.60 : x
  2. Step 2: Convert to fraction form
    9,128.60/13,698.30 = 6,017.60/x
  3. Step 3: Cross multiply
    9,128.60x = 13,698.30 × 6,017.60
  4. Step 4: Simplify right side
    9,128.60x = 82,430,890.08
  5. Step 5: Solve for x
    x = 82,430,890.08/9,128.60
  6. Step 6: Final answer
    x = 9,029.96

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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.