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Finding the Fourth Proportional to 7,199.23, 9,931.54 and 4,213.21

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Solution

The fourth proportional to 7,199.23, 9,931.54 and 4,213.21 is: 5,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.23 : 9,931.54 = 4,213.21 : x
  2. Step 2: Convert to fraction form
    7,199.23/9,931.54 = 4,213.21/x
  3. Step 3: Cross multiply
    7,199.23x = 9,931.54 × 4,213.21
  4. Step 4: Simplify right side
    7,199.23x = 41,843,642.58
  5. Step 5: Solve for x
    x = 41,843,642.58/7,199.23
  6. Step 6: Final answer
    x = 5,812.24

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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.