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Finding the Fourth Proportional to 7,145.12, 9,865.32 and 4,628.48

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Solution

The fourth proportional to 7,145.12, 9,865.32 and 4,628.48 is: 6,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.12 : 9,865.32 = 4,628.48 : x
  2. Step 2: Convert to fraction form
    7,145.12/9,865.32 = 4,628.48/x
  3. Step 3: Cross multiply
    7,145.12x = 9,865.32 × 4,628.48
  4. Step 4: Simplify right side
    7,145.12x = 45,661,436.31
  5. Step 5: Solve for x
    x = 45,661,436.31/7,145.12
  6. Step 6: Final answer
    x = 6,390.58

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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.