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Finding the Fourth Proportional to 9,509.28, 14,264.28 and 2,583.72

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Solution

The fourth proportional to 9,509.28, 14,264.28 and 2,583.72 is: 3,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.28 : 14,264.28 = 2,583.72 : x
  2. Step 2: Convert to fraction form
    9,509.28/14,264.28 = 2,583.72/x
  3. Step 3: Cross multiply
    9,509.28x = 14,264.28 × 2,583.72
  4. Step 4: Simplify right side
    9,509.28x = 36,854,905.52
  5. Step 5: Solve for x
    x = 36,854,905.52/9,509.28
  6. Step 6: Final answer
    x = 3,875.68

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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.