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Finding the Fourth Proportional to 6,549.76, 9,038.69 and 3,897.11

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Solution

The fourth proportional to 6,549.76, 9,038.69 and 3,897.11 is: 5,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.76 : 9,038.69 = 3,897.11 : x
  2. Step 2: Convert to fraction form
    6,549.76/9,038.69 = 3,897.11/x
  3. Step 3: Cross multiply
    6,549.76x = 9,038.69 × 3,897.11
  4. Step 4: Simplify right side
    6,549.76x = 35,224,786.91
  5. Step 5: Solve for x
    x = 35,224,786.91/6,549.76
  6. Step 6: Final answer
    x = 5,378.03

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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.