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Finding the Fourth Proportional to 6,277.32, 9,403.02 and 4,889.16

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Solution

The fourth proportional to 6,277.32, 9,403.02 and 4,889.16 is: 7,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.32 : 9,403.02 = 4,889.16 : x
  2. Step 2: Convert to fraction form
    6,277.32/9,403.02 = 4,889.16/x
  3. Step 3: Cross multiply
    6,277.32x = 9,403.02 × 4,889.16
  4. Step 4: Simplify right side
    6,277.32x = 45,972,869.26
  5. Step 5: Solve for x
    x = 45,972,869.26/6,277.32
  6. Step 6: Final answer
    x = 7,323.65

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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.