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Finding the Fourth Proportional to 9,307.04, 12,842.72 and 5,327.44

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Solution

The fourth proportional to 9,307.04, 12,842.72 and 5,327.44 is: 7,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.04 : 12,842.72 = 5,327.44 : x
  2. Step 2: Convert to fraction form
    9,307.04/12,842.72 = 5,327.44/x
  3. Step 3: Cross multiply
    9,307.04x = 12,842.72 × 5,327.44
  4. Step 4: Simplify right side
    9,307.04x = 68,418,820.24
  5. Step 5: Solve for x
    x = 68,418,820.24/9,307.04
  6. Step 6: Final answer
    x = 7,351.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.