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Finding the Fourth Proportional to 7,237.50, 9,987.75 and 3,925.50

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Solution

The fourth proportional to 7,237.50, 9,987.75 and 3,925.50 is: 5,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.50 : 9,987.75 = 3,925.50 : x
  2. Step 2: Convert to fraction form
    7,237.50/9,987.75 = 3,925.50/x
  3. Step 3: Cross multiply
    7,237.50x = 9,987.75 × 3,925.50
  4. Step 4: Simplify right side
    7,237.50x = 39,206,912.63
  5. Step 5: Solve for x
    x = 39,206,912.63/7,237.50
  6. Step 6: Final answer
    x = 5,417.19

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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.