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Finding the Fourth Proportional to 6,416.77, 9,625.15 and 4,672.87

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Solution

The fourth proportional to 6,416.77, 9,625.15 and 4,672.87 is: 7,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.77 : 9,625.15 = 4,672.87 : x
  2. Step 2: Convert to fraction form
    6,416.77/9,625.15 = 4,672.87/x
  3. Step 3: Cross multiply
    6,416.77x = 9,625.15 × 4,672.87
  4. Step 4: Simplify right side
    6,416.77x = 44,977,051.32
  5. Step 5: Solve for x
    x = 44,977,051.32/6,416.77
  6. Step 6: Final answer
    x = 7,009.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.