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Finding the Fourth Proportional to 6,323.16, 9,483.03 and 1,880.82

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Solution

The fourth proportional to 6,323.16, 9,483.03 and 1,880.82 is: 2,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.16 : 9,483.03 = 1,880.82 : x
  2. Step 2: Convert to fraction form
    6,323.16/9,483.03 = 1,880.82/x
  3. Step 3: Cross multiply
    6,323.16x = 9,483.03 × 1,880.82
  4. Step 4: Simplify right side
    6,323.16x = 17,835,872.48
  5. Step 5: Solve for x
    x = 17,835,872.48/6,323.16
  6. Step 6: Final answer
    x = 2,820.72

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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.