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Finding the Fourth Proportional to 9,240.66, 12,747.53 and 5,462.00

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Solution

The fourth proportional to 9,240.66, 12,747.53 and 5,462.00 is: 7,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.66 : 12,747.53 = 5,462.00 : x
  2. Step 2: Convert to fraction form
    9,240.66/12,747.53 = 5,462.00/x
  3. Step 3: Cross multiply
    9,240.66x = 12,747.53 × 5,462.00
  4. Step 4: Simplify right side
    9,240.66x = 69,626,917.81
  5. Step 5: Solve for x
    x = 69,626,917.81/9,240.66
  6. Step 6: Final answer
    x = 7,534.84

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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.