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Finding the Fourth Proportional to 9,428.54, 14,035.03 and 9,288.41

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Solution

The fourth proportional to 9,428.54, 14,035.03 and 9,288.41 is: 13,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.54 : 14,035.03 = 9,288.41 : x
  2. Step 2: Convert to fraction form
    9,428.54/14,035.03 = 9,288.41/x
  3. Step 3: Cross multiply
    9,428.54x = 14,035.03 × 9,288.41
  4. Step 4: Simplify right side
    9,428.54x = 130,363,113.00
  5. Step 5: Solve for x
    x = 130,363,113.00/9,428.54
  6. Step 6: Final answer
    x = 13,826.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.