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Finding the Fourth Proportional to 9,918.99, 13,688.20 and 5,442.77

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Solution

The fourth proportional to 9,918.99, 13,688.20 and 5,442.77 is: 7,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.99 : 13,688.20 = 5,442.77 : x
  2. Step 2: Convert to fraction form
    9,918.99/13,688.20 = 5,442.77/x
  3. Step 3: Cross multiply
    9,918.99x = 13,688.20 × 5,442.77
  4. Step 4: Simplify right side
    9,918.99x = 74,501,724.31
  5. Step 5: Solve for x
    x = 74,501,724.31/9,918.99
  6. Step 6: Final answer
    x = 7,511.02

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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.