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Finding the Fourth Proportional to 9,091.08, 13,639.86 and 4,711.50

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Solution

The fourth proportional to 9,091.08, 13,639.86 and 4,711.50 is: 7,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.08 : 13,639.86 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    9,091.08/13,639.86 = 4,711.50/x
  3. Step 3: Cross multiply
    9,091.08x = 13,639.86 × 4,711.50
  4. Step 4: Simplify right side
    9,091.08x = 64,264,200.39
  5. Step 5: Solve for x
    x = 64,264,200.39/9,091.08
  6. Step 6: Final answer
    x = 7,068.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.