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Finding the Fourth Proportional to 9,873.68, 14,822.08 and 7,795.08

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Solution

The fourth proportional to 9,873.68, 14,822.08 and 7,795.08 is: 11,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.68 : 14,822.08 = 7,795.08 : x
  2. Step 2: Convert to fraction form
    9,873.68/14,822.08 = 7,795.08/x
  3. Step 3: Cross multiply
    9,873.68x = 14,822.08 × 7,795.08
  4. Step 4: Simplify right side
    9,873.68x = 115,539,299.37
  5. Step 5: Solve for x
    x = 115,539,299.37/9,873.68
  6. Step 6: Final answer
    x = 11,701.75

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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.