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Finding the Fourth Proportional to 10,296.09, 14,209.02 and 6,047.28

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Solution

The fourth proportional to 10,296.09, 14,209.02 and 6,047.28 is: 8,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.09 : 14,209.02 = 6,047.28 : x
  2. Step 2: Convert to fraction form
    10,296.09/14,209.02 = 6,047.28/x
  3. Step 3: Cross multiply
    10,296.09x = 14,209.02 × 6,047.28
  4. Step 4: Simplify right side
    10,296.09x = 85,925,922.47
  5. Step 5: Solve for x
    x = 85,925,922.47/10,296.09
  6. Step 6: Final answer
    x = 8,345.49

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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.