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Finding the Fourth Proportional to 9,803.79, 14,708.16 and 4,542.57

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Solution

The fourth proportional to 9,803.79, 14,708.16 and 4,542.57 is: 6,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.79 : 14,708.16 = 4,542.57 : x
  2. Step 2: Convert to fraction form
    9,803.79/14,708.16 = 4,542.57/x
  3. Step 3: Cross multiply
    9,803.79x = 14,708.16 × 4,542.57
  4. Step 4: Simplify right side
    9,803.79x = 66,812,846.37
  5. Step 5: Solve for x
    x = 66,812,846.37/9,803.79
  6. Step 6: Final answer
    x = 6,815.00

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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.