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Finding the Fourth Proportional to 9,828.72, 14,747.80 and 6,130

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Solution

The fourth proportional to 9,828.72, 14,747.80 and 6,130 is: 9,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.72 : 14,747.80 = 6,130 : x
  2. Step 2: Convert to fraction form
    9,828.72/14,747.80 = 6,130/x
  3. Step 3: Cross multiply
    9,828.72x = 14,747.80 × 6,130
  4. Step 4: Simplify right side
    9,828.72x = 90,404,014
  5. Step 5: Solve for x
    x = 90,404,014/9,828.72
  6. Step 6: Final answer
    x = 9,197.94

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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.