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Finding the Fourth Proportional to 6,416.33, 8,851.95 and 3,897.50

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Solution

The fourth proportional to 6,416.33, 8,851.95 and 3,897.50 is: 5,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.33 : 8,851.95 = 3,897.50 : x
  2. Step 2: Convert to fraction form
    6,416.33/8,851.95 = 3,897.50/x
  3. Step 3: Cross multiply
    6,416.33x = 8,851.95 × 3,897.50
  4. Step 4: Simplify right side
    6,416.33x = 34,500,430.87
  5. Step 5: Solve for x
    x = 34,500,430.87/6,416.33
  6. Step 6: Final answer
    x = 5,376.98

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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.