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Finding the Fourth Proportional to 6,949.16, 9,582.34 and 5,273.64

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Solution

The fourth proportional to 6,949.16, 9,582.34 and 5,273.64 is: 7,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.16 : 9,582.34 = 5,273.64 : x
  2. Step 2: Convert to fraction form
    6,949.16/9,582.34 = 5,273.64/x
  3. Step 3: Cross multiply
    6,949.16x = 9,582.34 × 5,273.64
  4. Step 4: Simplify right side
    6,949.16x = 50,533,811.52
  5. Step 5: Solve for x
    x = 50,533,811.52/6,949.16
  6. Step 6: Final answer
    x = 7,271.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.