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Finding the Fourth Proportional to 9,202.36, 13,807.60 and 7,140.28

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Solution

The fourth proportional to 9,202.36, 13,807.60 and 7,140.28 is: 10,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.36 : 13,807.60 = 7,140.28 : x
  2. Step 2: Convert to fraction form
    9,202.36/13,807.60 = 7,140.28/x
  3. Step 3: Cross multiply
    9,202.36x = 13,807.60 × 7,140.28
  4. Step 4: Simplify right side
    9,202.36x = 98,590,077.76
  5. Step 5: Solve for x
    x = 98,590,077.76/9,202.36
  6. Step 6: Final answer
    x = 10,713.57

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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.