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Finding the Fourth Proportional to 7,214.49, 9,956.07 and 4,230.41

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Solution

The fourth proportional to 7,214.49, 9,956.07 and 4,230.41 is: 5,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.49 : 9,956.07 = 4,230.41 : x
  2. Step 2: Convert to fraction form
    7,214.49/9,956.07 = 4,230.41/x
  3. Step 3: Cross multiply
    7,214.49x = 9,956.07 × 4,230.41
  4. Step 4: Simplify right side
    7,214.49x = 42,118,208.31
  5. Step 5: Solve for x
    x = 42,118,208.31/7,214.49
  6. Step 6: Final answer
    x = 5,838.00

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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.