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Finding the Fourth Proportional to 7,051.61, 9,731.33 and 3,864.86

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Solution

The fourth proportional to 7,051.61, 9,731.33 and 3,864.86 is: 5,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.61 : 9,731.33 = 3,864.86 : x
  2. Step 2: Convert to fraction form
    7,051.61/9,731.33 = 3,864.86/x
  3. Step 3: Cross multiply
    7,051.61x = 9,731.33 × 3,864.86
  4. Step 4: Simplify right side
    7,051.61x = 37,610,228.06
  5. Step 5: Solve for x
    x = 37,610,228.06/7,051.61
  6. Step 6: Final answer
    x = 5,333.57

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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.