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Finding the Fourth Proportional to 9,646.49, 14,468.02 and 3,071.18

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Solution

The fourth proportional to 9,646.49, 14,468.02 and 3,071.18 is: 4,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.49 : 14,468.02 = 3,071.18 : x
  2. Step 2: Convert to fraction form
    9,646.49/14,468.02 = 3,071.18/x
  3. Step 3: Cross multiply
    9,646.49x = 14,468.02 × 3,071.18
  4. Step 4: Simplify right side
    9,646.49x = 44,433,922.16
  5. Step 5: Solve for x
    x = 44,433,922.16/9,646.49
  6. Step 6: Final answer
    x = 4,606.23

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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.