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Finding the Fourth Proportional to 9,784.13, 13,502.09 and 5,592.47

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Solution

The fourth proportional to 9,784.13, 13,502.09 and 5,592.47 is: 7,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.13 : 13,502.09 = 5,592.47 : x
  2. Step 2: Convert to fraction form
    9,784.13/13,502.09 = 5,592.47/x
  3. Step 3: Cross multiply
    9,784.13x = 13,502.09 × 5,592.47
  4. Step 4: Simplify right side
    9,784.13x = 75,509,979.73
  5. Step 5: Solve for x
    x = 75,509,979.73/9,784.13
  6. Step 6: Final answer
    x = 7,717.60

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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.