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Finding the Fourth Proportional to 7,134.50, 9,849.94 and 4,654.82

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Solution

The fourth proportional to 7,134.50, 9,849.94 and 4,654.82 is: 6,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.50 : 9,849.94 = 4,654.82 : x
  2. Step 2: Convert to fraction form
    7,134.50/9,849.94 = 4,654.82/x
  3. Step 3: Cross multiply
    7,134.50x = 9,849.94 × 4,654.82
  4. Step 4: Simplify right side
    7,134.50x = 45,849,697.71
  5. Step 5: Solve for x
    x = 45,849,697.71/7,134.50
  6. Step 6: Final answer
    x = 6,426.48

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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.