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Finding the Fourth Proportional to 6,854.02, 9,457.77 and 5,804.26

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Solution

The fourth proportional to 6,854.02, 9,457.77 and 5,804.26 is: 8,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.02 : 9,457.77 = 5,804.26 : x
  2. Step 2: Convert to fraction form
    6,854.02/9,457.77 = 5,804.26/x
  3. Step 3: Cross multiply
    6,854.02x = 9,457.77 × 5,804.26
  4. Step 4: Simplify right side
    6,854.02x = 54,895,356.10
  5. Step 5: Solve for x
    x = 54,895,356.10/6,854.02
  6. Step 6: Final answer
    x = 8,009.22

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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.