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Finding the Fourth Proportional to 6,509.02, 9,763.65 and 2,349.34

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Solution

The fourth proportional to 6,509.02, 9,763.65 and 2,349.34 is: 3,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.02 : 9,763.65 = 2,349.34 : x
  2. Step 2: Convert to fraction form
    6,509.02/9,763.65 = 2,349.34/x
  3. Step 3: Cross multiply
    6,509.02x = 9,763.65 × 2,349.34
  4. Step 4: Simplify right side
    6,509.02x = 22,938,133.49
  5. Step 5: Solve for x
    x = 22,938,133.49/6,509.02
  6. Step 6: Final answer
    x = 3,524.05

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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.