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Finding the Fourth Proportional to 9,556.84, 14,322.30 and 7,100.92

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Solution

The fourth proportional to 9,556.84, 14,322.30 and 7,100.92 is: 10,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.84 : 14,322.30 = 7,100.92 : x
  2. Step 2: Convert to fraction form
    9,556.84/14,322.30 = 7,100.92/x
  3. Step 3: Cross multiply
    9,556.84x = 14,322.30 × 7,100.92
  4. Step 4: Simplify right side
    9,556.84x = 101,701,506.52
  5. Step 5: Solve for x
    x = 101,701,506.52/9,556.84
  6. Step 6: Final answer
    x = 10,641.75

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