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Finding the Fourth Proportional to 9,094.51, 13,639.27 and 6,454.18

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Solution

The fourth proportional to 9,094.51, 13,639.27 and 6,454.18 is: 9,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.51 : 13,639.27 = 6,454.18 : x
  2. Step 2: Convert to fraction form
    9,094.51/13,639.27 = 6,454.18/x
  3. Step 3: Cross multiply
    9,094.51x = 13,639.27 × 6,454.18
  4. Step 4: Simplify right side
    9,094.51x = 88,030,271.38
  5. Step 5: Solve for x
    x = 88,030,271.38/9,094.51
  6. Step 6: Final answer
    x = 9,679.50

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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.