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Finding the Fourth Proportional to 9,648.50, 13,314.93 and 5,232.50

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Solution

The fourth proportional to 9,648.50, 13,314.93 and 5,232.50 is: 7,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.50 : 13,314.93 = 5,232.50 : x
  2. Step 2: Convert to fraction form
    9,648.50/13,314.93 = 5,232.50/x
  3. Step 3: Cross multiply
    9,648.50x = 13,314.93 × 5,232.50
  4. Step 4: Simplify right side
    9,648.50x = 69,670,371.23
  5. Step 5: Solve for x
    x = 69,670,371.23/9,648.50
  6. Step 6: Final answer
    x = 7,220.85

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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.