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Finding the Fourth Proportional to 7,055.11, 9,729.30 and 4,222

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Solution

The fourth proportional to 7,055.11, 9,729.30 and 4,222 is: 5,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.11 : 9,729.30 = 4,222 : x
  2. Step 2: Convert to fraction form
    7,055.11/9,729.30 = 4,222/x
  3. Step 3: Cross multiply
    7,055.11x = 9,729.30 × 4,222
  4. Step 4: Simplify right side
    7,055.11x = 41,077,104.60
  5. Step 5: Solve for x
    x = 41,077,104.60/7,055.11
  6. Step 6: Final answer
    x = 5,822.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.