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Finding the Fourth Proportional to 6,406.48, 8,841.72 and 3,612.16

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Solution

The fourth proportional to 6,406.48, 8,841.72 and 3,612.16 is: 4,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.48 : 8,841.72 = 3,612.16 : x
  2. Step 2: Convert to fraction form
    6,406.48/8,841.72 = 3,612.16/x
  3. Step 3: Cross multiply
    6,406.48x = 8,841.72 × 3,612.16
  4. Step 4: Simplify right side
    6,406.48x = 31,937,707.32
  5. Step 5: Solve for x
    x = 31,937,707.32/6,406.48
  6. Step 6: Final answer
    x = 4,985.22

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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.