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Finding the Fourth Proportional to 9,164.60, 13,752.30 and 6,053.60

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Solution

The fourth proportional to 9,164.60, 13,752.30 and 6,053.60 is: 9,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.60 : 13,752.30 = 6,053.60 : x
  2. Step 2: Convert to fraction form
    9,164.60/13,752.30 = 6,053.60/x
  3. Step 3: Cross multiply
    9,164.60x = 13,752.30 × 6,053.60
  4. Step 4: Simplify right side
    9,164.60x = 83,250,923.28
  5. Step 5: Solve for x
    x = 83,250,923.28/9,164.60
  6. Step 6: Final answer
    x = 9,083.97

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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.