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Finding the Fourth Proportional to 9,603.73, 14,405.61 and 2,678.23

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Solution

The fourth proportional to 9,603.73, 14,405.61 and 2,678.23 is: 4,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.73 : 14,405.61 = 2,678.23 : x
  2. Step 2: Convert to fraction form
    9,603.73/14,405.61 = 2,678.23/x
  3. Step 3: Cross multiply
    9,603.73x = 14,405.61 × 2,678.23
  4. Step 4: Simplify right side
    9,603.73x = 38,581,536.87
  5. Step 5: Solve for x
    x = 38,581,536.87/9,603.73
  6. Step 6: Final answer
    x = 4,017.35

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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.