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Finding the Fourth Proportional to 9,870.66, 13,616.40 and 6,684.12

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Solution

The fourth proportional to 9,870.66, 13,616.40 and 6,684.12 is: 9,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.66 : 13,616.40 = 6,684.12 : x
  2. Step 2: Convert to fraction form
    9,870.66/13,616.40 = 6,684.12/x
  3. Step 3: Cross multiply
    9,870.66x = 13,616.40 × 6,684.12
  4. Step 4: Simplify right side
    9,870.66x = 91,013,676.63
  5. Step 5: Solve for x
    x = 91,013,676.63/9,870.66
  6. Step 6: Final answer
    x = 9,220.63

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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.