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Finding the Fourth Proportional to 13,809.84, 19,064.64 and 9,357.12

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Solution

The fourth proportional to 13,809.84, 19,064.64 and 9,357.12 is: 12,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.84 : 19,064.64 = 9,357.12 : x
  2. Step 2: Convert to fraction form
    13,809.84/19,064.64 = 9,357.12/x
  3. Step 3: Cross multiply
    13,809.84x = 19,064.64 × 9,357.12
  4. Step 4: Simplify right side
    13,809.84x = 178,390,124.24
  5. Step 5: Solve for x
    x = 178,390,124.24/13,809.84
  6. Step 6: Final answer
    x = 12,917.61

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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.