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Finding the Fourth Proportional to 9,703.50, 13,390.83 and 5,287.50

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Solution

The fourth proportional to 9,703.50, 13,390.83 and 5,287.50 is: 7,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.50 : 13,390.83 = 5,287.50 : x
  2. Step 2: Convert to fraction form
    9,703.50/13,390.83 = 5,287.50/x
  3. Step 3: Cross multiply
    9,703.50x = 13,390.83 × 5,287.50
  4. Step 4: Simplify right side
    9,703.50x = 70,804,013.63
  5. Step 5: Solve for x
    x = 70,804,013.63/9,703.50
  6. Step 6: Final answer
    x = 7,296.75

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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.