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Finding the Fourth Proportional to 9,702.51, 13,388.94 and 5,723.79

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Solution

The fourth proportional to 9,702.51, 13,388.94 and 5,723.79 is: 7,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.51 : 13,388.94 = 5,723.79 : x
  2. Step 2: Convert to fraction form
    9,702.51/13,388.94 = 5,723.79/x
  3. Step 3: Cross multiply
    9,702.51x = 13,388.94 × 5,723.79
  4. Step 4: Simplify right side
    9,702.51x = 76,635,480.88
  5. Step 5: Solve for x
    x = 76,635,480.88/9,702.51
  6. Step 6: Final answer
    x = 7,898.52

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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.