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Finding the Fourth Proportional to 9,703.16, 14,554.02 and 3,462.46

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Solution

The fourth proportional to 9,703.16, 14,554.02 and 3,462.46 is: 5,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.16 : 14,554.02 = 3,462.46 : x
  2. Step 2: Convert to fraction form
    9,703.16/14,554.02 = 3,462.46/x
  3. Step 3: Cross multiply
    9,703.16x = 14,554.02 × 3,462.46
  4. Step 4: Simplify right side
    9,703.16x = 50,392,712.09
  5. Step 5: Solve for x
    x = 50,392,712.09/9,703.16
  6. Step 6: Final answer
    x = 5,193.43

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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.