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Finding the Fourth Proportional to 10,273.50, 14,206.59 and 9,809.37

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Solution

The fourth proportional to 10,273.50, 14,206.59 and 9,809.37 is: 13,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.50 : 14,206.59 = 9,809.37 : x
  2. Step 2: Convert to fraction form
    10,273.50/14,206.59 = 9,809.37/x
  3. Step 3: Cross multiply
    10,273.50x = 14,206.59 × 9,809.37
  4. Step 4: Simplify right side
    10,273.50x = 139,357,697.75
  5. Step 5: Solve for x
    x = 139,357,697.75/10,273.50
  6. Step 6: Final answer
    x = 13,564.77

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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.