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Finding the Fourth Proportional to 6,483.24, 9,725 and 2,323.52

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Solution

The fourth proportional to 6,483.24, 9,725 and 2,323.52 is: 3,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.24 : 9,725 = 2,323.52 : x
  2. Step 2: Convert to fraction form
    6,483.24/9,725 = 2,323.52/x
  3. Step 3: Cross multiply
    6,483.24x = 9,725 × 2,323.52
  4. Step 4: Simplify right side
    6,483.24x = 22,596,232
  5. Step 5: Solve for x
    x = 22,596,232/6,483.24
  6. Step 6: Final answer
    x = 3,485.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.