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Finding the Fourth Proportional to 6,391.76, 9,587.64 and 2,009.32

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Solution

The fourth proportional to 6,391.76, 9,587.64 and 2,009.32 is: 3,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.76 : 9,587.64 = 2,009.32 : x
  2. Step 2: Convert to fraction form
    6,391.76/9,587.64 = 2,009.32/x
  3. Step 3: Cross multiply
    6,391.76x = 9,587.64 × 2,009.32
  4. Step 4: Simplify right side
    6,391.76x = 19,264,636.80
  5. Step 5: Solve for x
    x = 19,264,636.80/6,391.76
  6. Step 6: Final answer
    x = 3,013.98

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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.