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Finding the Fourth Proportional to 6,533.07, 9,015.72 and 3,548.95

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Solution

The fourth proportional to 6,533.07, 9,015.72 and 3,548.95 is: 4,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.07 : 9,015.72 = 3,548.95 : x
  2. Step 2: Convert to fraction form
    6,533.07/9,015.72 = 3,548.95/x
  3. Step 3: Cross multiply
    6,533.07x = 9,015.72 × 3,548.95
  4. Step 4: Simplify right side
    6,533.07x = 31,996,354.36
  5. Step 5: Solve for x
    x = 31,996,354.36/6,533.07
  6. Step 6: Final answer
    x = 4,897.60

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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.