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Finding the Fourth Proportional to 9,526.84, 13,147.51 and 5,749.94

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Solution

The fourth proportional to 9,526.84, 13,147.51 and 5,749.94 is: 7,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.84 : 13,147.51 = 5,749.94 : x
  2. Step 2: Convert to fraction form
    9,526.84/13,147.51 = 5,749.94/x
  3. Step 3: Cross multiply
    9,526.84x = 13,147.51 × 5,749.94
  4. Step 4: Simplify right side
    9,526.84x = 75,597,393.65
  5. Step 5: Solve for x
    x = 75,597,393.65/9,526.84
  6. Step 6: Final answer
    x = 7,935.20

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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.