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Finding the Fourth Proportional to 9,503.16, 14,243.80 and 5,111.39

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Solution

The fourth proportional to 9,503.16, 14,243.80 and 5,111.39 is: 7,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.16 : 14,243.80 = 5,111.39 : x
  2. Step 2: Convert to fraction form
    9,503.16/14,243.80 = 5,111.39/x
  3. Step 3: Cross multiply
    9,503.16x = 14,243.80 × 5,111.39
  4. Step 4: Simplify right side
    9,503.16x = 72,805,616.88
  5. Step 5: Solve for x
    x = 72,805,616.88/9,503.16
  6. Step 6: Final answer
    x = 7,661.20

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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.