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Finding the Fourth Proportional to 9,865.75, 14,805.93 and 4,671.64

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Solution

The fourth proportional to 9,865.75, 14,805.93 and 4,671.64 is: 7,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.75 : 14,805.93 = 4,671.64 : x
  2. Step 2: Convert to fraction form
    9,865.75/14,805.93 = 4,671.64/x
  3. Step 3: Cross multiply
    9,865.75x = 14,805.93 × 4,671.64
  4. Step 4: Simplify right side
    9,865.75x = 69,167,974.83
  5. Step 5: Solve for x
    x = 69,167,974.83/9,865.75
  6. Step 6: Final answer
    x = 7,010.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.