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Finding the Fourth Proportional to 6,849.46, 9,447.33 and 4,455

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Solution

The fourth proportional to 6,849.46, 9,447.33 and 4,455 is: 6,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.46 : 9,447.33 = 4,455 : x
  2. Step 2: Convert to fraction form
    6,849.46/9,447.33 = 4,455/x
  3. Step 3: Cross multiply
    6,849.46x = 9,447.33 × 4,455
  4. Step 4: Simplify right side
    6,849.46x = 42,087,871.86
  5. Step 5: Solve for x
    x = 42,087,871.86/6,849.46
  6. Step 6: Final answer
    x = 6,144.70

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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.