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Finding the Fourth Proportional to 9,730.70, 14,599.49 and 4,803.78

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Solution

The fourth proportional to 9,730.70, 14,599.49 and 4,803.78 is: 7,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.70 : 14,599.49 = 4,803.78 : x
  2. Step 2: Convert to fraction form
    9,730.70/14,599.49 = 4,803.78/x
  3. Step 3: Cross multiply
    9,730.70x = 14,599.49 × 4,803.78
  4. Step 4: Simplify right side
    9,730.70x = 70,132,714.05
  5. Step 5: Solve for x
    x = 70,132,714.05/9,730.70
  6. Step 6: Final answer
    x = 7,207.37

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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.