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Finding the Fourth Proportional to 9,655.84, 14,472.72 and 4,101.04

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Solution

The fourth proportional to 9,655.84, 14,472.72 and 4,101.04 is: 6,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.84 : 14,472.72 = 4,101.04 : x
  2. Step 2: Convert to fraction form
    9,655.84/14,472.72 = 4,101.04/x
  3. Step 3: Cross multiply
    9,655.84x = 14,472.72 × 4,101.04
  4. Step 4: Simplify right side
    9,655.84x = 59,353,203.63
  5. Step 5: Solve for x
    x = 59,353,203.63/9,655.84
  6. Step 6: Final answer
    x = 6,146.87

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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.