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Finding the Fourth Proportional to 9,727, 14,590.50 and 3,571

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Solution

The fourth proportional to 9,727, 14,590.50 and 3,571 is: 5,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727 : 14,590.50 = 3,571 : x
  2. Step 2: Convert to fraction form
    9,727/14,590.50 = 3,571/x
  3. Step 3: Cross multiply
    9,727x = 14,590.50 × 3,571
  4. Step 4: Simplify right side
    9,727x = 52,102,675.50
  5. Step 5: Solve for x
    x = 52,102,675.50/9,727
  6. Step 6: Final answer
    x = 5,356.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.