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Finding the Fourth Proportional to 9,937.09, 14,886.16 and 5,768.37

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Solution

The fourth proportional to 9,937.09, 14,886.16 and 5,768.37 is: 8,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.09 : 14,886.16 = 5,768.37 : x
  2. Step 2: Convert to fraction form
    9,937.09/14,886.16 = 5,768.37/x
  3. Step 3: Cross multiply
    9,937.09x = 14,886.16 × 5,768.37
  4. Step 4: Simplify right side
    9,937.09x = 85,868,878.76
  5. Step 5: Solve for x
    x = 85,868,878.76/9,937.09
  6. Step 6: Final answer
    x = 8,641.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.