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Finding the Fourth Proportional to 9,307.52, 13,962 and 3,464.18

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Solution

The fourth proportional to 9,307.52, 13,962 and 3,464.18 is: 5,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.52 : 13,962 = 3,464.18 : x
  2. Step 2: Convert to fraction form
    9,307.52/13,962 = 3,464.18/x
  3. Step 3: Cross multiply
    9,307.52x = 13,962 × 3,464.18
  4. Step 4: Simplify right side
    9,307.52x = 48,366,881.16
  5. Step 5: Solve for x
    x = 48,366,881.16/9,307.52
  6. Step 6: Final answer
    x = 5,196.54

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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.