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Finding the Fourth Proportional to 6,546.04, 9,028.93 and 4,307.20

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Solution

The fourth proportional to 6,546.04, 9,028.93 and 4,307.20 is: 5,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.04 : 9,028.93 = 4,307.20 : x
  2. Step 2: Convert to fraction form
    6,546.04/9,028.93 = 4,307.20/x
  3. Step 3: Cross multiply
    6,546.04x = 9,028.93 × 4,307.20
  4. Step 4: Simplify right side
    6,546.04x = 38,889,407.30
  5. Step 5: Solve for x
    x = 38,889,407.30/6,546.04
  6. Step 6: Final answer
    x = 5,940.91

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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.