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Finding the Fourth Proportional to 9,600.80, 14,386.59 and 7,124

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Solution

The fourth proportional to 9,600.80, 14,386.59 and 7,124 is: 10,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.80 : 14,386.59 = 7,124 : x
  2. Step 2: Convert to fraction form
    9,600.80/14,386.59 = 7,124/x
  3. Step 3: Cross multiply
    9,600.80x = 14,386.59 × 7,124
  4. Step 4: Simplify right side
    9,600.80x = 102,490,067.16
  5. Step 5: Solve for x
    x = 102,490,067.16/9,600.80
  6. Step 6: Final answer
    x = 10,675.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.