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Finding the Fourth Proportional to 9,603.48, 14,382.82 and 7,394.68

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Solution

The fourth proportional to 9,603.48, 14,382.82 and 7,394.68 is: 11,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.48 : 14,382.82 = 7,394.68 : x
  2. Step 2: Convert to fraction form
    9,603.48/14,382.82 = 7,394.68/x
  3. Step 3: Cross multiply
    9,603.48x = 14,382.82 × 7,394.68
  4. Step 4: Simplify right side
    9,603.48x = 106,356,351.40
  5. Step 5: Solve for x
    x = 106,356,351.40/9,603.48
  6. Step 6: Final answer
    x = 11,074.77

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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.