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Finding the Fourth Proportional to 6,588.76, 9,868 and 4,273.24

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Solution

The fourth proportional to 6,588.76, 9,868 and 4,273.24 is: 6,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.76 : 9,868 = 4,273.24 : x
  2. Step 2: Convert to fraction form
    6,588.76/9,868 = 4,273.24/x
  3. Step 3: Cross multiply
    6,588.76x = 9,868 × 4,273.24
  4. Step 4: Simplify right side
    6,588.76x = 42,168,332.32
  5. Step 5: Solve for x
    x = 42,168,332.32/6,588.76
  6. Step 6: Final answer
    x = 6,400.04

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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.