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Finding the Fourth Proportional to 9,670.68, 14,507.76 and 3,098.52

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Solution

The fourth proportional to 9,670.68, 14,507.76 and 3,098.52 is: 4,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.68 : 14,507.76 = 3,098.52 : x
  2. Step 2: Convert to fraction form
    9,670.68/14,507.76 = 3,098.52/x
  3. Step 3: Cross multiply
    9,670.68x = 14,507.76 × 3,098.52
  4. Step 4: Simplify right side
    9,670.68x = 44,952,584.52
  5. Step 5: Solve for x
    x = 44,952,584.52/9,670.68
  6. Step 6: Final answer
    x = 4,648.34

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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.