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Finding the Fourth Proportional to 6,457.96, 9,693.42 and 4,510.72

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Solution

The fourth proportional to 6,457.96, 9,693.42 and 4,510.72 is: 6,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.96 : 9,693.42 = 4,510.72 : x
  2. Step 2: Convert to fraction form
    6,457.96/9,693.42 = 4,510.72/x
  3. Step 3: Cross multiply
    6,457.96x = 9,693.42 × 4,510.72
  4. Step 4: Simplify right side
    6,457.96x = 43,724,303.46
  5. Step 5: Solve for x
    x = 43,724,303.46/6,457.96
  6. Step 6: Final answer
    x = 6,770.61

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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.