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Finding the Fourth Proportional to 9,053.12, 13,543.32 and 7,833.80

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Solution

The fourth proportional to 9,053.12, 13,543.32 and 7,833.80 is: 11,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.12 : 13,543.32 = 7,833.80 : x
  2. Step 2: Convert to fraction form
    9,053.12/13,543.32 = 7,833.80/x
  3. Step 3: Cross multiply
    9,053.12x = 13,543.32 × 7,833.80
  4. Step 4: Simplify right side
    9,053.12x = 106,095,660.22
  5. Step 5: Solve for x
    x = 106,095,660.22/9,053.12
  6. Step 6: Final answer
    x = 11,719.24

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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.