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Finding the Fourth Proportional to 9,938.60, 14,894.94 and 4,088.60

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Solution

The fourth proportional to 9,938.60, 14,894.94 and 4,088.60 is: 6,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.60 : 14,894.94 = 4,088.60 : x
  2. Step 2: Convert to fraction form
    9,938.60/14,894.94 = 4,088.60/x
  3. Step 3: Cross multiply
    9,938.60x = 14,894.94 × 4,088.60
  4. Step 4: Simplify right side
    9,938.60x = 60,899,451.68
  5. Step 5: Solve for x
    x = 60,899,451.68/9,938.60
  6. Step 6: Final answer
    x = 6,127.57

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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.