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Finding the Fourth Proportional to 7,214.06, 9,953.70 and 4,230.20

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Solution

The fourth proportional to 7,214.06, 9,953.70 and 4,230.20 is: 5,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.06 : 9,953.70 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    7,214.06/9,953.70 = 4,230.20/x
  3. Step 3: Cross multiply
    7,214.06x = 9,953.70 × 4,230.20
  4. Step 4: Simplify right side
    7,214.06x = 42,106,141.74
  5. Step 5: Solve for x
    x = 42,106,141.74/7,214.06
  6. Step 6: Final answer
    x = 5,836.68

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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.