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Finding the Fourth Proportional to 9,830.50, 14,743.32 and 6,130.82

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Solution

The fourth proportional to 9,830.50, 14,743.32 and 6,130.82 is: 9,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.50 : 14,743.32 = 6,130.82 : x
  2. Step 2: Convert to fraction form
    9,830.50/14,743.32 = 6,130.82/x
  3. Step 3: Cross multiply
    9,830.50x = 14,743.32 × 6,130.82
  4. Step 4: Simplify right side
    9,830.50x = 90,388,641.12
  5. Step 5: Solve for x
    x = 90,388,641.12/9,830.50
  6. Step 6: Final answer
    x = 9,194.71

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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.