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Finding the Fourth Proportional to 6,848.95, 9,442.99 and 5,716.25

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Solution

The fourth proportional to 6,848.95, 9,442.99 and 5,716.25 is: 7,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.95 : 9,442.99 = 5,716.25 : x
  2. Step 2: Convert to fraction form
    6,848.95/9,442.99 = 5,716.25/x
  3. Step 3: Cross multiply
    6,848.95x = 9,442.99 × 5,716.25
  4. Step 4: Simplify right side
    6,848.95x = 53,978,463.01
  5. Step 5: Solve for x
    x = 53,978,463.01/6,848.95
  6. Step 6: Final answer
    x = 7,881.28

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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.