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Finding the Fourth Proportional to 9,923.75, 13,695.45 and 5,732

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Solution

The fourth proportional to 9,923.75, 13,695.45 and 5,732 is: 7,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.75 : 13,695.45 = 5,732 : x
  2. Step 2: Convert to fraction form
    9,923.75/13,695.45 = 5,732/x
  3. Step 3: Cross multiply
    9,923.75x = 13,695.45 × 5,732
  4. Step 4: Simplify right side
    9,923.75x = 78,502,319.40
  5. Step 5: Solve for x
    x = 78,502,319.40/9,923.75
  6. Step 6: Final answer
    x = 7,910.55

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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.