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Finding the Fourth Proportional to 9,676.71, 14,510.34 and 4,127.00

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Solution

The fourth proportional to 9,676.71, 14,510.34 and 4,127.00 is: 6,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.71 : 14,510.34 = 4,127.00 : x
  2. Step 2: Convert to fraction form
    9,676.71/14,510.34 = 4,127.00/x
  3. Step 3: Cross multiply
    9,676.71x = 14,510.34 × 4,127.00
  4. Step 4: Simplify right side
    9,676.71x = 59,884,100.63
  5. Step 5: Solve for x
    x = 59,884,100.63/9,676.71
  6. Step 6: Final answer
    x = 6,188.48

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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.