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Finding the Fourth Proportional to 7,235.56, 9,985.12 and 4,212.48

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Solution

The fourth proportional to 7,235.56, 9,985.12 and 4,212.48 is: 5,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.56 : 9,985.12 = 4,212.48 : x
  2. Step 2: Convert to fraction form
    7,235.56/9,985.12 = 4,212.48/x
  3. Step 3: Cross multiply
    7,235.56x = 9,985.12 × 4,212.48
  4. Step 4: Simplify right side
    7,235.56x = 42,062,107.77
  5. Step 5: Solve for x
    x = 42,062,107.77/7,235.56
  6. Step 6: Final answer
    x = 5,813.25

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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.