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Finding the Fourth Proportional to 6,509.34, 9,763.08 and 2,348.78

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Solution

The fourth proportional to 6,509.34, 9,763.08 and 2,348.78 is: 3,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.34 : 9,763.08 = 2,348.78 : x
  2. Step 2: Convert to fraction form
    6,509.34/9,763.08 = 2,348.78/x
  3. Step 3: Cross multiply
    6,509.34x = 9,763.08 × 2,348.78
  4. Step 4: Simplify right side
    6,509.34x = 22,931,278.23
  5. Step 5: Solve for x
    x = 22,931,278.23/6,509.34
  6. Step 6: Final answer
    x = 3,522.83

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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.