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Finding the Fourth Proportional to 6,503.02, 9,752.10 and 2,804.96

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Solution

The fourth proportional to 6,503.02, 9,752.10 and 2,804.96 is: 4,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.02 : 9,752.10 = 2,804.96 : x
  2. Step 2: Convert to fraction form
    6,503.02/9,752.10 = 2,804.96/x
  3. Step 3: Cross multiply
    6,503.02x = 9,752.10 × 2,804.96
  4. Step 4: Simplify right side
    6,503.02x = 27,354,250.42
  5. Step 5: Solve for x
    x = 27,354,250.42/6,503.02
  6. Step 6: Final answer
    x = 4,206.39

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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.