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Finding the Fourth Proportional to 6,457.32, 9,685.70 and 1,777.82

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Solution

The fourth proportional to 6,457.32, 9,685.70 and 1,777.82 is: 2,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.32 : 9,685.70 = 1,777.82 : x
  2. Step 2: Convert to fraction form
    6,457.32/9,685.70 = 1,777.82/x
  3. Step 3: Cross multiply
    6,457.32x = 9,685.70 × 1,777.82
  4. Step 4: Simplify right side
    6,457.32x = 17,219,431.17
  5. Step 5: Solve for x
    x = 17,219,431.17/6,457.32
  6. Step 6: Final answer
    x = 2,666.65

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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.