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Finding the Fourth Proportional to 9,847.36, 14,763.48 and 4,911.76

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Solution

The fourth proportional to 9,847.36, 14,763.48 and 4,911.76 is: 7,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.36 : 14,763.48 = 4,911.76 : x
  2. Step 2: Convert to fraction form
    9,847.36/14,763.48 = 4,911.76/x
  3. Step 3: Cross multiply
    9,847.36x = 14,763.48 × 4,911.76
  4. Step 4: Simplify right side
    9,847.36x = 72,514,670.52
  5. Step 5: Solve for x
    x = 72,514,670.52/9,847.36
  6. Step 6: Final answer
    x = 7,363.87

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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.