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Finding the Fourth Proportional to 7,214.69, 9,956.55 and 4,070.81

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Solution

The fourth proportional to 7,214.69, 9,956.55 and 4,070.81 is: 5,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.69 : 9,956.55 = 4,070.81 : x
  2. Step 2: Convert to fraction form
    7,214.69/9,956.55 = 4,070.81/x
  3. Step 3: Cross multiply
    7,214.69x = 9,956.55 × 4,070.81
  4. Step 4: Simplify right side
    7,214.69x = 40,531,263.46
  5. Step 5: Solve for x
    x = 40,531,263.46/7,214.69
  6. Step 6: Final answer
    x = 5,617.88

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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.