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Finding the Fourth Proportional to 8,736.81, 12,069.18 and 6,966.15

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Solution

The fourth proportional to 8,736.81, 12,069.18 and 6,966.15 is: 9,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.81 : 12,069.18 = 6,966.15 : x
  2. Step 2: Convert to fraction form
    8,736.81/12,069.18 = 6,966.15/x
  3. Step 3: Cross multiply
    8,736.81x = 12,069.18 × 6,966.15
  4. Step 4: Simplify right side
    8,736.81x = 84,075,718.26
  5. Step 5: Solve for x
    x = 84,075,718.26/8,736.81
  6. Step 6: Final answer
    x = 9,623.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.