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Finding the Fourth Proportional to 9,838.02, 14,764.32 and 4,647.54

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Solution

The fourth proportional to 9,838.02, 14,764.32 and 4,647.54 is: 6,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.02 : 14,764.32 = 4,647.54 : x
  2. Step 2: Convert to fraction form
    9,838.02/14,764.32 = 4,647.54/x
  3. Step 3: Cross multiply
    9,838.02x = 14,764.32 × 4,647.54
  4. Step 4: Simplify right side
    9,838.02x = 68,617,767.77
  5. Step 5: Solve for x
    x = 68,617,767.77/9,838.02
  6. Step 6: Final answer
    x = 6,974.75

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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.