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Finding the Fourth Proportional to 9,871.80, 14,810.16 and 6,955.80

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Solution

The fourth proportional to 9,871.80, 14,810.16 and 6,955.80 is: 10,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.80 : 14,810.16 = 6,955.80 : x
  2. Step 2: Convert to fraction form
    9,871.80/14,810.16 = 6,955.80/x
  3. Step 3: Cross multiply
    9,871.80x = 14,810.16 × 6,955.80
  4. Step 4: Simplify right side
    9,871.80x = 103,016,510.93
  5. Step 5: Solve for x
    x = 103,016,510.93/9,871.80
  6. Step 6: Final answer
    x = 10,435.43

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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.