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Finding the Fourth Proportional to 6,503.24, 9,756.66 and 2,802.98

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Solution

The fourth proportional to 6,503.24, 9,756.66 and 2,802.98 is: 4,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.24 : 9,756.66 = 2,802.98 : x
  2. Step 2: Convert to fraction form
    6,503.24/9,756.66 = 2,802.98/x
  3. Step 3: Cross multiply
    6,503.24x = 9,756.66 × 2,802.98
  4. Step 4: Simplify right side
    6,503.24x = 27,347,722.85
  5. Step 5: Solve for x
    x = 27,347,722.85/6,503.24
  6. Step 6: Final answer
    x = 4,205.25

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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.