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Finding the Fourth Proportional to 9,607.92, 14,409 and 2,681.52

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Solution

The fourth proportional to 9,607.92, 14,409 and 2,681.52 is: 4,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.92 : 14,409 = 2,681.52 : x
  2. Step 2: Convert to fraction form
    9,607.92/14,409 = 2,681.52/x
  3. Step 3: Cross multiply
    9,607.92x = 14,409 × 2,681.52
  4. Step 4: Simplify right side
    9,607.92x = 38,638,021.68
  5. Step 5: Solve for x
    x = 38,638,021.68/9,607.92
  6. Step 6: Final answer
    x = 4,021.48

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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.