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Finding the Fourth Proportional to 9,905.08, 13,666.08 and 5,656

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Solution

The fourth proportional to 9,905.08, 13,666.08 and 5,656 is: 7,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.08 : 13,666.08 = 5,656 : x
  2. Step 2: Convert to fraction form
    9,905.08/13,666.08 = 5,656/x
  3. Step 3: Cross multiply
    9,905.08x = 13,666.08 × 5,656
  4. Step 4: Simplify right side
    9,905.08x = 77,295,348.48
  5. Step 5: Solve for x
    x = 77,295,348.48/9,905.08
  6. Step 6: Final answer
    x = 7,803.61

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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.