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Finding the Fourth Proportional to 9,894.60, 14,834.70 and 4,048.20

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Solution

The fourth proportional to 9,894.60, 14,834.70 and 4,048.20 is: 6,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.60 : 14,834.70 = 4,048.20 : x
  2. Step 2: Convert to fraction form
    9,894.60/14,834.70 = 4,048.20/x
  3. Step 3: Cross multiply
    9,894.60x = 14,834.70 × 4,048.20
  4. Step 4: Simplify right side
    9,894.60x = 60,053,832.54
  5. Step 5: Solve for x
    x = 60,053,832.54/9,894.60
  6. Step 6: Final answer
    x = 6,069.35

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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.