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Finding the Fourth Proportional to 9,830, 14,747.43 and 3,256.85

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Solution

The fourth proportional to 9,830, 14,747.43 and 3,256.85 is: 4,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 14,747.43 = 3,256.85 : x
  2. Step 2: Convert to fraction form
    9,830/14,747.43 = 3,256.85/x
  3. Step 3: Cross multiply
    9,830x = 14,747.43 × 3,256.85
  4. Step 4: Simplify right side
    9,830x = 48,030,167.40
  5. Step 5: Solve for x
    x = 48,030,167.40/9,830
  6. Step 6: Final answer
    x = 4,886.08

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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.