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Finding the Fourth Proportional to 9,677.03, 14,450.03 and 7,680.26

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Solution

The fourth proportional to 9,677.03, 14,450.03 and 7,680.26 is: 11,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.03 : 14,450.03 = 7,680.26 : x
  2. Step 2: Convert to fraction form
    9,677.03/14,450.03 = 7,680.26/x
  3. Step 3: Cross multiply
    9,677.03x = 14,450.03 × 7,680.26
  4. Step 4: Simplify right side
    9,677.03x = 110,979,999.53
  5. Step 5: Solve for x
    x = 110,979,999.53/9,677.03
  6. Step 6: Final answer
    x = 11,468.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.