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Finding the Fourth Proportional to 9,784.41, 13,502.34 and 5,308.17

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Solution

The fourth proportional to 9,784.41, 13,502.34 and 5,308.17 is: 7,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.41 : 13,502.34 = 5,308.17 : x
  2. Step 2: Convert to fraction form
    9,784.41/13,502.34 = 5,308.17/x
  3. Step 3: Cross multiply
    9,784.41x = 13,502.34 × 5,308.17
  4. Step 4: Simplify right side
    9,784.41x = 71,672,716.12
  5. Step 5: Solve for x
    x = 71,672,716.12/9,784.41
  6. Step 6: Final answer
    x = 7,325.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.