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Finding the Fourth Proportional to 9,126.32, 13,694.76 and 4,966.76

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Solution

The fourth proportional to 9,126.32, 13,694.76 and 4,966.76 is: 7,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.32 : 13,694.76 = 4,966.76 : x
  2. Step 2: Convert to fraction form
    9,126.32/13,694.76 = 4,966.76/x
  3. Step 3: Cross multiply
    9,126.32x = 13,694.76 × 4,966.76
  4. Step 4: Simplify right side
    9,126.32x = 68,018,586.18
  5. Step 5: Solve for x
    x = 68,018,586.18/9,126.32
  6. Step 6: Final answer
    x = 7,453.01

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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.