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Finding the Fourth Proportional to 7,224.34, 9,963.35 and 4,705.50

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Solution

The fourth proportional to 7,224.34, 9,963.35 and 4,705.50 is: 6,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.34 : 9,963.35 = 4,705.50 : x
  2. Step 2: Convert to fraction form
    7,224.34/9,963.35 = 4,705.50/x
  3. Step 3: Cross multiply
    7,224.34x = 9,963.35 × 4,705.50
  4. Step 4: Simplify right side
    7,224.34x = 46,882,543.43
  5. Step 5: Solve for x
    x = 46,882,543.43/7,224.34
  6. Step 6: Final answer
    x = 6,489.53

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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.