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Finding the Fourth Proportional to 9,237.65, 12,749.00 and 5,259.33

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Solution

The fourth proportional to 9,237.65, 12,749.00 and 5,259.33 is: 7,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.65 : 12,749.00 = 5,259.33 : x
  2. Step 2: Convert to fraction form
    9,237.65/12,749.00 = 5,259.33/x
  3. Step 3: Cross multiply
    9,237.65x = 12,749.00 × 5,259.33
  4. Step 4: Simplify right side
    9,237.65x = 67,051,171.87
  5. Step 5: Solve for x
    x = 67,051,171.87/9,237.65
  6. Step 6: Final answer
    x = 7,258.47

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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.