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Finding the Fourth Proportional to 9,536.51, 14,304.86 and 4,271.78

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Solution

The fourth proportional to 9,536.51, 14,304.86 and 4,271.78 is: 6,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.51 : 14,304.86 = 4,271.78 : x
  2. Step 2: Convert to fraction form
    9,536.51/14,304.86 = 4,271.78/x
  3. Step 3: Cross multiply
    9,536.51x = 14,304.86 × 4,271.78
  4. Step 4: Simplify right side
    9,536.51x = 61,107,214.85
  5. Step 5: Solve for x
    x = 61,107,214.85/9,536.51
  6. Step 6: Final answer
    x = 6,407.71

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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.