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Finding the Fourth Proportional to 9,307.90, 13,963.14 and 2,733.16

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Solution

The fourth proportional to 9,307.90, 13,963.14 and 2,733.16 is: 4,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.90 : 13,963.14 = 2,733.16 : x
  2. Step 2: Convert to fraction form
    9,307.90/13,963.14 = 2,733.16/x
  3. Step 3: Cross multiply
    9,307.90x = 13,963.14 × 2,733.16
  4. Step 4: Simplify right side
    9,307.90x = 38,163,495.72
  5. Step 5: Solve for x
    x = 38,163,495.72/9,307.90
  6. Step 6: Final answer
    x = 4,100.12

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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.