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Finding the Fourth Proportional to 9,838.08, 13,574.88 and 5,646.24

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Solution

The fourth proportional to 9,838.08, 13,574.88 and 5,646.24 is: 7,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.08 : 13,574.88 = 5,646.24 : x
  2. Step 2: Convert to fraction form
    9,838.08/13,574.88 = 5,646.24/x
  3. Step 3: Cross multiply
    9,838.08x = 13,574.88 × 5,646.24
  4. Step 4: Simplify right side
    9,838.08x = 76,647,030.45
  5. Step 5: Solve for x
    x = 76,647,030.45/9,838.08
  6. Step 6: Final answer
    x = 7,790.85

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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.