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Finding the Fourth Proportional to 9,902.93, 14,770.94 and 9,214.02

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Solution

The fourth proportional to 9,902.93, 14,770.94 and 9,214.02 is: 13,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.93 : 14,770.94 = 9,214.02 : x
  2. Step 2: Convert to fraction form
    9,902.93/14,770.94 = 9,214.02/x
  3. Step 3: Cross multiply
    9,902.93x = 14,770.94 × 9,214.02
  4. Step 4: Simplify right side
    9,902.93x = 136,099,690.51
  5. Step 5: Solve for x
    x = 136,099,690.51/9,902.93
  6. Step 6: Final answer
    x = 13,743.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.