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Finding the Fourth Proportional to 9,551.66, 14,263.13 and 7,800.08

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Solution

The fourth proportional to 9,551.66, 14,263.13 and 7,800.08 is: 11,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.66 : 14,263.13 = 7,800.08 : x
  2. Step 2: Convert to fraction form
    9,551.66/14,263.13 = 7,800.08/x
  3. Step 3: Cross multiply
    9,551.66x = 14,263.13 × 7,800.08
  4. Step 4: Simplify right side
    9,551.66x = 111,253,444.73
  5. Step 5: Solve for x
    x = 111,253,444.73/9,551.66
  6. Step 6: Final answer
    x = 11,647.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.