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Finding the Fourth Proportional to 7,040.81, 9,716.47 and 3,897.00

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Solution

The fourth proportional to 7,040.81, 9,716.47 and 3,897.00 is: 5,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.81 : 9,716.47 = 3,897.00 : x
  2. Step 2: Convert to fraction form
    7,040.81/9,716.47 = 3,897.00/x
  3. Step 3: Cross multiply
    7,040.81x = 9,716.47 × 3,897.00
  4. Step 4: Simplify right side
    7,040.81x = 37,865,038.63
  5. Step 5: Solve for x
    x = 37,865,038.63/7,040.81
  6. Step 6: Final answer
    x = 5,377.94

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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.