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Finding the Fourth Proportional to 6,095.54, 9,139.37 and 4,009.23

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Solution

The fourth proportional to 6,095.54, 9,139.37 and 4,009.23 is: 6,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.54 : 9,139.37 = 4,009.23 : x
  2. Step 2: Convert to fraction form
    6,095.54/9,139.37 = 4,009.23/x
  3. Step 3: Cross multiply
    6,095.54x = 9,139.37 × 4,009.23
  4. Step 4: Simplify right side
    6,095.54x = 36,641,816.34
  5. Step 5: Solve for x
    x = 36,641,816.34/6,095.54
  6. Step 6: Final answer
    x = 6,011.25

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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.