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Finding the Fourth Proportional to 9,895.08, 14,845.86 and 5,277

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Solution

The fourth proportional to 9,895.08, 14,845.86 and 5,277 is: 7,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.08 : 14,845.86 = 5,277 : x
  2. Step 2: Convert to fraction form
    9,895.08/14,845.86 = 5,277/x
  3. Step 3: Cross multiply
    9,895.08x = 14,845.86 × 5,277
  4. Step 4: Simplify right side
    9,895.08x = 78,341,603.22
  5. Step 5: Solve for x
    x = 78,341,603.22/9,895.08
  6. Step 6: Final answer
    x = 7,917.23

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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.