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Finding the Fourth Proportional to 6,130.72, 9,196.04 and 4,060.00

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Solution

The fourth proportional to 6,130.72, 9,196.04 and 4,060.00 is: 6,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.72 : 9,196.04 = 4,060.00 : x
  2. Step 2: Convert to fraction form
    6,130.72/9,196.04 = 4,060.00/x
  3. Step 3: Cross multiply
    6,130.72x = 9,196.04 × 4,060.00
  4. Step 4: Simplify right side
    6,130.72x = 37,335,866.27
  5. Step 5: Solve for x
    x = 37,335,866.27/6,130.72
  6. Step 6: Final answer
    x = 6,089.96

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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.