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Finding the Fourth Proportional to 9,767.63, 14,642.46 and 3,526.17

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Solution

The fourth proportional to 9,767.63, 14,642.46 and 3,526.17 is: 5,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.63 : 14,642.46 = 3,526.17 : x
  2. Step 2: Convert to fraction form
    9,767.63/14,642.46 = 3,526.17/x
  3. Step 3: Cross multiply
    9,767.63x = 14,642.46 × 3,526.17
  4. Step 4: Simplify right side
    9,767.63x = 51,631,803.18
  5. Step 5: Solve for x
    x = 51,631,803.18/9,767.63
  6. Step 6: Final answer
    x = 5,286.01

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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.