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Finding the Fourth Proportional to 9,635.64, 14,461.70 and 6,869.08

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Solution

The fourth proportional to 9,635.64, 14,461.70 and 6,869.08 is: 10,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.64 : 14,461.70 = 6,869.08 : x
  2. Step 2: Convert to fraction form
    9,635.64/14,461.70 = 6,869.08/x
  3. Step 3: Cross multiply
    9,635.64x = 14,461.70 × 6,869.08
  4. Step 4: Simplify right side
    9,635.64x = 99,338,574.24
  5. Step 5: Solve for x
    x = 99,338,574.24/9,635.64
  6. Step 6: Final answer
    x = 10,309.49

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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.