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Finding the Fourth Proportional to 10,018.35, 13,787.15 and 9,405.99

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Solution

The fourth proportional to 10,018.35, 13,787.15 and 9,405.99 is: 12,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.35 : 13,787.15 = 9,405.99 : x
  2. Step 2: Convert to fraction form
    10,018.35/13,787.15 = 9,405.99/x
  3. Step 3: Cross multiply
    10,018.35x = 13,787.15 × 9,405.99
  4. Step 4: Simplify right side
    10,018.35x = 129,681,748.00
  5. Step 5: Solve for x
    x = 129,681,748.00/10,018.35
  6. Step 6: Final answer
    x = 12,944.42

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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.