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Finding the Fourth Proportional to 6,416.77, 8,852.70 and 3,897.93

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Solution

The fourth proportional to 6,416.77, 8,852.70 and 3,897.93 is: 5,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.77 : 8,852.70 = 3,897.93 : x
  2. Step 2: Convert to fraction form
    6,416.77/8,852.70 = 3,897.93/x
  3. Step 3: Cross multiply
    6,416.77x = 8,852.70 × 3,897.93
  4. Step 4: Simplify right side
    6,416.77x = 34,507,185.42
  5. Step 5: Solve for x
    x = 34,507,185.42/6,416.77
  6. Step 6: Final answer
    x = 5,377.66

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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.