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Finding the Fourth Proportional to 9,764.20, 14,603.10 and 7,431.40

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Solution

The fourth proportional to 9,764.20, 14,603.10 and 7,431.40 is: 11,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.20 : 14,603.10 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    9,764.20/14,603.10 = 7,431.40/x
  3. Step 3: Cross multiply
    9,764.20x = 14,603.10 × 7,431.40
  4. Step 4: Simplify right side
    9,764.20x = 108,521,477.34
  5. Step 5: Solve for x
    x = 108,521,477.34/9,764.20
  6. Step 6: Final answer
    x = 11,114.22

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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.