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Finding the Fourth Proportional to 9,520.32, 14,280.06 and 2,594.82

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Solution

The fourth proportional to 9,520.32, 14,280.06 and 2,594.82 is: 3,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.32 : 14,280.06 = 2,594.82 : x
  2. Step 2: Convert to fraction form
    9,520.32/14,280.06 = 2,594.82/x
  3. Step 3: Cross multiply
    9,520.32x = 14,280.06 × 2,594.82
  4. Step 4: Simplify right side
    9,520.32x = 37,054,185.29
  5. Step 5: Solve for x
    x = 37,054,185.29/9,520.32
  6. Step 6: Final answer
    x = 3,892.12

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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.