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Finding the Fourth Proportional to 9,655.93, 14,480.83 and 4,974.49

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Solution

The fourth proportional to 9,655.93, 14,480.83 and 4,974.49 is: 7,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.93 : 14,480.83 = 4,974.49 : x
  2. Step 2: Convert to fraction form
    9,655.93/14,480.83 = 4,974.49/x
  3. Step 3: Cross multiply
    9,655.93x = 14,480.83 × 4,974.49
  4. Step 4: Simplify right side
    9,655.93x = 72,034,744.03
  5. Step 5: Solve for x
    x = 72,034,744.03/9,655.93
  6. Step 6: Final answer
    x = 7,460.16

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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.