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Finding the Fourth Proportional to 9,747.74, 14,609.49 and 4,477.16

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Solution

The fourth proportional to 9,747.74, 14,609.49 and 4,477.16 is: 6,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.74 : 14,609.49 = 4,477.16 : x
  2. Step 2: Convert to fraction form
    9,747.74/14,609.49 = 4,477.16/x
  3. Step 3: Cross multiply
    9,747.74x = 14,609.49 × 4,477.16
  4. Step 4: Simplify right side
    9,747.74x = 65,408,934.41
  5. Step 5: Solve for x
    x = 65,408,934.41/9,747.74
  6. Step 6: Final answer
    x = 6,710.17

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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.