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Finding the Fourth Proportional to 6,465.24, 9,683.28 and 5,298.84

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Solution

The fourth proportional to 6,465.24, 9,683.28 and 5,298.84 is: 7,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.24 : 9,683.28 = 5,298.84 : x
  2. Step 2: Convert to fraction form
    6,465.24/9,683.28 = 5,298.84/x
  3. Step 3: Cross multiply
    6,465.24x = 9,683.28 × 5,298.84
  4. Step 4: Simplify right side
    6,465.24x = 51,310,151.40
  5. Step 5: Solve for x
    x = 51,310,151.40/6,465.24
  6. Step 6: Final answer
    x = 7,936.31

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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.