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Finding the Fourth Proportional to 9,054.50, 13,585.87 and 5,364.02

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Solution

The fourth proportional to 9,054.50, 13,585.87 and 5,364.02 is: 8,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.50 : 13,585.87 = 5,364.02 : x
  2. Step 2: Convert to fraction form
    9,054.50/13,585.87 = 5,364.02/x
  3. Step 3: Cross multiply
    9,054.50x = 13,585.87 × 5,364.02
  4. Step 4: Simplify right side
    9,054.50x = 72,874,878.40
  5. Step 5: Solve for x
    x = 72,874,878.40/9,054.50
  6. Step 6: Final answer
    x = 8,048.47

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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.