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Finding the Fourth Proportional to 6,345.64, 9,522.41 and 3,059.07

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Solution

The fourth proportional to 6,345.64, 9,522.41 and 3,059.07 is: 4,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.64 : 9,522.41 = 3,059.07 : x
  2. Step 2: Convert to fraction form
    6,345.64/9,522.41 = 3,059.07/x
  3. Step 3: Cross multiply
    6,345.64x = 9,522.41 × 3,059.07
  4. Step 4: Simplify right side
    6,345.64x = 29,129,718.76
  5. Step 5: Solve for x
    x = 29,129,718.76/6,345.64
  6. Step 6: Final answer
    x = 4,590.51

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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.