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Finding the Fourth Proportional to 7,225.56, 9,968.40 and 4,869.24

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Solution

The fourth proportional to 7,225.56, 9,968.40 and 4,869.24 is: 6,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.56 : 9,968.40 = 4,869.24 : x
  2. Step 2: Convert to fraction form
    7,225.56/9,968.40 = 4,869.24/x
  3. Step 3: Cross multiply
    7,225.56x = 9,968.40 × 4,869.24
  4. Step 4: Simplify right side
    7,225.56x = 48,538,532.02
  5. Step 5: Solve for x
    x = 48,538,532.02/7,225.56
  6. Step 6: Final answer
    x = 6,717.62

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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.