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Finding the Fourth Proportional to 6,853.32, 9,455.88 and 4,020.96

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Solution

The fourth proportional to 6,853.32, 9,455.88 and 4,020.96 is: 5,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.32 : 9,455.88 = 4,020.96 : x
  2. Step 2: Convert to fraction form
    6,853.32/9,455.88 = 4,020.96/x
  3. Step 3: Cross multiply
    6,853.32x = 9,455.88 × 4,020.96
  4. Step 4: Simplify right side
    6,853.32x = 38,021,715.24
  5. Step 5: Solve for x
    x = 38,021,715.24/6,853.32
  6. Step 6: Final answer
    x = 5,547.93

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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.