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Finding the Fourth Proportional to 6,127.72, 9,191.34 and 1,510.72

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Solution

The fourth proportional to 6,127.72, 9,191.34 and 1,510.72 is: 2,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.72 : 9,191.34 = 1,510.72 : x
  2. Step 2: Convert to fraction form
    6,127.72/9,191.34 = 1,510.72/x
  3. Step 3: Cross multiply
    6,127.72x = 9,191.34 × 1,510.72
  4. Step 4: Simplify right side
    6,127.72x = 13,885,541.16
  5. Step 5: Solve for x
    x = 13,885,541.16/6,127.72
  6. Step 6: Final answer
    x = 2,266.02

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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.