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Finding the Fourth Proportional to 6,477.16, 9,714.70 and 2,316.46

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Solution

The fourth proportional to 6,477.16, 9,714.70 and 2,316.46 is: 3,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.16 : 9,714.70 = 2,316.46 : x
  2. Step 2: Convert to fraction form
    6,477.16/9,714.70 = 2,316.46/x
  3. Step 3: Cross multiply
    6,477.16x = 9,714.70 × 2,316.46
  4. Step 4: Simplify right side
    6,477.16x = 22,503,713.96
  5. Step 5: Solve for x
    x = 22,503,713.96/6,477.16
  6. Step 6: Final answer
    x = 3,474.32

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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.