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Finding the Fourth Proportional to 10,209.63, 14,093.19 and 9,928.74

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Solution

The fourth proportional to 10,209.63, 14,093.19 and 9,928.74 is: 13,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.63 : 14,093.19 = 9,928.74 : x
  2. Step 2: Convert to fraction form
    10,209.63/14,093.19 = 9,928.74/x
  3. Step 3: Cross multiply
    10,209.63x = 14,093.19 × 9,928.74
  4. Step 4: Simplify right side
    10,209.63x = 139,927,619.28
  5. Step 5: Solve for x
    x = 139,927,619.28/10,209.63
  6. Step 6: Final answer
    x = 13,705.45

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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.