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Finding the Fourth Proportional to 9,291.45, 12,815.16 and 6,059.14

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Solution

The fourth proportional to 9,291.45, 12,815.16 and 6,059.14 is: 8,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.45 : 12,815.16 = 6,059.14 : x
  2. Step 2: Convert to fraction form
    9,291.45/12,815.16 = 6,059.14/x
  3. Step 3: Cross multiply
    9,291.45x = 12,815.16 × 6,059.14
  4. Step 4: Simplify right side
    9,291.45x = 77,648,848.56
  5. Step 5: Solve for x
    x = 77,648,848.56/9,291.45
  6. Step 6: Final answer
    x = 8,357.02

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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.