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Finding the Fourth Proportional to 9,636.18, 14,454.21 and 4,957.50

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Solution

The fourth proportional to 9,636.18, 14,454.21 and 4,957.50 is: 7,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.18 : 14,454.21 = 4,957.50 : x
  2. Step 2: Convert to fraction form
    9,636.18/14,454.21 = 4,957.50/x
  3. Step 3: Cross multiply
    9,636.18x = 14,454.21 × 4,957.50
  4. Step 4: Simplify right side
    9,636.18x = 71,656,746.08
  5. Step 5: Solve for x
    x = 71,656,746.08/9,636.18
  6. Step 6: Final answer
    x = 7,436.22

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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.