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Finding the Fourth Proportional to 6,858.74, 9,467.36 and 4,875.06

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Solution

The fourth proportional to 6,858.74, 9,467.36 and 4,875.06 is: 6,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.74 : 9,467.36 = 4,875.06 : x
  2. Step 2: Convert to fraction form
    6,858.74/9,467.36 = 4,875.06/x
  3. Step 3: Cross multiply
    6,858.74x = 9,467.36 × 4,875.06
  4. Step 4: Simplify right side
    6,858.74x = 46,153,948.04
  5. Step 5: Solve for x
    x = 46,153,948.04/6,858.74
  6. Step 6: Final answer
    x = 6,729.22

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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.