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Finding the Fourth Proportional to 6,538.95, 9,023.06 and 3,886.00

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Solution

The fourth proportional to 6,538.95, 9,023.06 and 3,886.00 is: 5,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.95 : 9,023.06 = 3,886.00 : x
  2. Step 2: Convert to fraction form
    6,538.95/9,023.06 = 3,886.00/x
  3. Step 3: Cross multiply
    6,538.95x = 9,023.06 × 3,886.00
  4. Step 4: Simplify right side
    6,538.95x = 35,063,598.32
  5. Step 5: Solve for x
    x = 35,063,598.32/6,538.95
  6. Step 6: Final answer
    x = 5,362.27

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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.