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Finding the Fourth Proportional to 9,307.90, 13,962.52 and 3,464.50

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Solution

The fourth proportional to 9,307.90, 13,962.52 and 3,464.50 is: 5,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.90 : 13,962.52 = 3,464.50 : x
  2. Step 2: Convert to fraction form
    9,307.90/13,962.52 = 3,464.50/x
  3. Step 3: Cross multiply
    9,307.90x = 13,962.52 × 3,464.50
  4. Step 4: Simplify right side
    9,307.90x = 48,373,150.54
  5. Step 5: Solve for x
    x = 48,373,150.54/9,307.90
  6. Step 6: Final answer
    x = 5,197.00

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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.