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Finding the Fourth Proportional to 9,784.45, 13,502.41 and 5,308.08

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Solution

The fourth proportional to 9,784.45, 13,502.41 and 5,308.08 is: 7,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.45 : 13,502.41 = 5,308.08 : x
  2. Step 2: Convert to fraction form
    9,784.45/13,502.41 = 5,308.08/x
  3. Step 3: Cross multiply
    9,784.45x = 13,502.41 × 5,308.08
  4. Step 4: Simplify right side
    9,784.45x = 71,671,872.47
  5. Step 5: Solve for x
    x = 71,671,872.47/9,784.45
  6. Step 6: Final answer
    x = 7,325.08

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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.