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Finding the Fourth Proportional to 6,506.40, 8,976.62 and 5,309.28

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Solution

The fourth proportional to 6,506.40, 8,976.62 and 5,309.28 is: 7,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.40 : 8,976.62 = 5,309.28 : x
  2. Step 2: Convert to fraction form
    6,506.40/8,976.62 = 5,309.28/x
  3. Step 3: Cross multiply
    6,506.40x = 8,976.62 × 5,309.28
  4. Step 4: Simplify right side
    6,506.40x = 47,659,389.03
  5. Step 5: Solve for x
    x = 47,659,389.03/6,506.40
  6. Step 6: Final answer
    x = 7,325.00

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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.