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Finding the Fourth Proportional to 9,389.74, 14,091 and 5,010.28

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Solution

The fourth proportional to 9,389.74, 14,091 and 5,010.28 is: 7,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.74 : 14,091 = 5,010.28 : x
  2. Step 2: Convert to fraction form
    9,389.74/14,091 = 5,010.28/x
  3. Step 3: Cross multiply
    9,389.74x = 14,091 × 5,010.28
  4. Step 4: Simplify right side
    9,389.74x = 70,599,855.48
  5. Step 5: Solve for x
    x = 70,599,855.48/9,389.74
  6. Step 6: Final answer
    x = 7,518.83

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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.