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Finding the Fourth Proportional to 9,509.32, 14,264.03 and 2,583.82

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Solution

The fourth proportional to 9,509.32, 14,264.03 and 2,583.82 is: 3,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.32 : 14,264.03 = 2,583.82 : x
  2. Step 2: Convert to fraction form
    9,509.32/14,264.03 = 2,583.82/x
  3. Step 3: Cross multiply
    9,509.32x = 14,264.03 × 2,583.82
  4. Step 4: Simplify right side
    9,509.32x = 36,855,685.99
  5. Step 5: Solve for x
    x = 36,855,685.99/9,509.32
  6. Step 6: Final answer
    x = 3,875.74

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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.