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Finding the Fourth Proportional to 6,457.01, 9,681.73 and 4,619.93

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Solution

The fourth proportional to 6,457.01, 9,681.73 and 4,619.93 is: 6,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.01 : 9,681.73 = 4,619.93 : x
  2. Step 2: Convert to fraction form
    6,457.01/9,681.73 = 4,619.93/x
  3. Step 3: Cross multiply
    6,457.01x = 9,681.73 × 4,619.93
  4. Step 4: Simplify right side
    6,457.01x = 44,728,854.92
  5. Step 5: Solve for x
    x = 44,728,854.92/6,457.01
  6. Step 6: Final answer
    x = 6,927.18

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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.