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Finding the Fourth Proportional to 9,428.13, 12,995.91 and 7,533.75

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Solution

The fourth proportional to 9,428.13, 12,995.91 and 7,533.75 is: 10,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.13 : 12,995.91 = 7,533.75 : x
  2. Step 2: Convert to fraction form
    9,428.13/12,995.91 = 7,533.75/x
  3. Step 3: Cross multiply
    9,428.13x = 12,995.91 × 7,533.75
  4. Step 4: Simplify right side
    9,428.13x = 97,907,936.96
  5. Step 5: Solve for x
    x = 97,907,936.96/9,428.13
  6. Step 6: Final answer
    x = 10,384.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.