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Finding the Fourth Proportional to 7,066.44, 9,750.14 and 4,271.88

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Solution

The fourth proportional to 7,066.44, 9,750.14 and 4,271.88 is: 5,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.44 : 9,750.14 = 4,271.88 : x
  2. Step 2: Convert to fraction form
    7,066.44/9,750.14 = 4,271.88/x
  3. Step 3: Cross multiply
    7,066.44x = 9,750.14 × 4,271.88
  4. Step 4: Simplify right side
    7,066.44x = 41,651,428.06
  5. Step 5: Solve for x
    x = 41,651,428.06/7,066.44
  6. Step 6: Final answer
    x = 5,894.26

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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.