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Finding the Fourth Proportional to 9,639.51, 13,294.44 and 7,646.91

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Solution

The fourth proportional to 9,639.51, 13,294.44 and 7,646.91 is: 10,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.51 : 13,294.44 = 7,646.91 : x
  2. Step 2: Convert to fraction form
    9,639.51/13,294.44 = 7,646.91/x
  3. Step 3: Cross multiply
    9,639.51x = 13,294.44 × 7,646.91
  4. Step 4: Simplify right side
    9,639.51x = 101,661,386.18
  5. Step 5: Solve for x
    x = 101,661,386.18/9,639.51
  6. Step 6: Final answer
    x = 10,546.32

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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.