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Finding the Fourth Proportional to 9,743.61, 14,606.69 and 3,502.17

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Solution

The fourth proportional to 9,743.61, 14,606.69 and 3,502.17 is: 5,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.61 : 14,606.69 = 3,502.17 : x
  2. Step 2: Convert to fraction form
    9,743.61/14,606.69 = 3,502.17/x
  3. Step 3: Cross multiply
    9,743.61x = 14,606.69 × 3,502.17
  4. Step 4: Simplify right side
    9,743.61x = 51,155,094.01
  5. Step 5: Solve for x
    x = 51,155,094.01/9,743.61
  6. Step 6: Final answer
    x = 5,250.12

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Why These Related Problems?

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