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Finding the Fourth Proportional to 9,830.70, 14,740.92 and 3,590.46

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Solution

The fourth proportional to 9,830.70, 14,740.92 and 3,590.46 is: 5,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.70 : 14,740.92 = 3,590.46 : x
  2. Step 2: Convert to fraction form
    9,830.70/14,740.92 = 3,590.46/x
  3. Step 3: Cross multiply
    9,830.70x = 14,740.92 × 3,590.46
  4. Step 4: Simplify right side
    9,830.70x = 52,926,683.62
  5. Step 5: Solve for x
    x = 52,926,683.62/9,830.70
  6. Step 6: Final answer
    x = 5,383.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.