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Finding the Fourth Proportional to 9,771.22, 14,657.50 and 4,839.52

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Solution

The fourth proportional to 9,771.22, 14,657.50 and 4,839.52 is: 7,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.22 : 14,657.50 = 4,839.52 : x
  2. Step 2: Convert to fraction form
    9,771.22/14,657.50 = 4,839.52/x
  3. Step 3: Cross multiply
    9,771.22x = 14,657.50 × 4,839.52
  4. Step 4: Simplify right side
    9,771.22x = 70,935,264.40
  5. Step 5: Solve for x
    x = 70,935,264.40/9,771.22
  6. Step 6: Final answer
    x = 7,259.61

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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.