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Finding the Fourth Proportional to 10,037.34, 13,849.86 and 6,453.09

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Solution

The fourth proportional to 10,037.34, 13,849.86 and 6,453.09 is: 8,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.34 : 13,849.86 = 6,453.09 : x
  2. Step 2: Convert to fraction form
    10,037.34/13,849.86 = 6,453.09/x
  3. Step 3: Cross multiply
    10,037.34x = 13,849.86 × 6,453.09
  4. Step 4: Simplify right side
    10,037.34x = 89,374,393.07
  5. Step 5: Solve for x
    x = 89,374,393.07/10,037.34
  6. Step 6: Final answer
    x = 8,904.19

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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.