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Finding the Fourth Proportional to 6,840.66, 9,441.90 and 4,457.18

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Solution

The fourth proportional to 6,840.66, 9,441.90 and 4,457.18 is: 6,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.66 : 9,441.90 = 4,457.18 : x
  2. Step 2: Convert to fraction form
    6,840.66/9,441.90 = 4,457.18/x
  3. Step 3: Cross multiply
    6,840.66x = 9,441.90 × 4,457.18
  4. Step 4: Simplify right side
    6,840.66x = 42,084,200.63
  5. Step 5: Solve for x
    x = 42,084,200.63/6,840.66
  6. Step 6: Final answer
    x = 6,152.07

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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.