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Finding the Fourth Proportional to 9,603.50, 13,252.83 and 5,187.50

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Solution

The fourth proportional to 9,603.50, 13,252.83 and 5,187.50 is: 7,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.50 : 13,252.83 = 5,187.50 : x
  2. Step 2: Convert to fraction form
    9,603.50/13,252.83 = 5,187.50/x
  3. Step 3: Cross multiply
    9,603.50x = 13,252.83 × 5,187.50
  4. Step 4: Simplify right side
    9,603.50x = 68,749,055.63
  5. Step 5: Solve for x
    x = 68,749,055.63/9,603.50
  6. Step 6: Final answer
    x = 7,158.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.