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Finding the Fourth Proportional to 9,197.64, 13,784.16 and 3,348.72

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Solution

The fourth proportional to 9,197.64, 13,784.16 and 3,348.72 is: 5,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.64 : 13,784.16 = 3,348.72 : x
  2. Step 2: Convert to fraction form
    9,197.64/13,784.16 = 3,348.72/x
  3. Step 3: Cross multiply
    9,197.64x = 13,784.16 × 3,348.72
  4. Step 4: Simplify right side
    9,197.64x = 46,159,292.28
  5. Step 5: Solve for x
    x = 46,159,292.28/9,197.64
  6. Step 6: Final answer
    x = 5,018.60

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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.