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Finding the Fourth Proportional to 9,472.14, 14,210.01 and 4,278

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Solution

The fourth proportional to 9,472.14, 14,210.01 and 4,278 is: 6,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.14 : 14,210.01 = 4,278 : x
  2. Step 2: Convert to fraction form
    9,472.14/14,210.01 = 4,278/x
  3. Step 3: Cross multiply
    9,472.14x = 14,210.01 × 4,278
  4. Step 4: Simplify right side
    9,472.14x = 60,790,422.78
  5. Step 5: Solve for x
    x = 60,790,422.78/9,472.14
  6. Step 6: Final answer
    x = 6,417.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.