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Finding the Fourth Proportional to 11,444.67, 15,802.83 and 9,199.35

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Solution

The fourth proportional to 11,444.67, 15,802.83 and 9,199.35 is: 12,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.67 : 15,802.83 = 9,199.35 : x
  2. Step 2: Convert to fraction form
    11,444.67/15,802.83 = 9,199.35/x
  3. Step 3: Cross multiply
    11,444.67x = 15,802.83 × 9,199.35
  4. Step 4: Simplify right side
    11,444.67x = 145,375,764.16
  5. Step 5: Solve for x
    x = 145,375,764.16/11,444.67
  6. Step 6: Final answer
    x = 12,702.49

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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.