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Finding the Fourth Proportional to 9,043.20, 13,569.92 and 4,883.16

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Solution

The fourth proportional to 9,043.20, 13,569.92 and 4,883.16 is: 7,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.20 : 13,569.92 = 4,883.16 : x
  2. Step 2: Convert to fraction form
    9,043.20/13,569.92 = 4,883.16/x
  3. Step 3: Cross multiply
    9,043.20x = 13,569.92 × 4,883.16
  4. Step 4: Simplify right side
    9,043.20x = 66,264,090.55
  5. Step 5: Solve for x
    x = 66,264,090.55/9,043.20
  6. Step 6: Final answer
    x = 7,327.50

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Why These Related Problems?

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