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Finding the Fourth Proportional to 12,977.09, 17,890.49 and 9,788.93

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Solution

The fourth proportional to 12,977.09, 17,890.49 and 9,788.93 is: 13,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.09 : 17,890.49 = 9,788.93 : x
  2. Step 2: Convert to fraction form
    12,977.09/17,890.49 = 9,788.93/x
  3. Step 3: Cross multiply
    12,977.09x = 17,890.49 × 9,788.93
  4. Step 4: Simplify right side
    12,977.09x = 175,128,754.28
  5. Step 5: Solve for x
    x = 175,128,754.28/12,977.09
  6. Step 6: Final answer
    x = 13,495.23

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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.