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Finding the Fourth Proportional to 9,734, 13,435.32 and 5,544.72

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Solution

The fourth proportional to 9,734, 13,435.32 and 5,544.72 is: 7,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 13,435.32 = 5,544.72 : x
  2. Step 2: Convert to fraction form
    9,734/13,435.32 = 5,544.72/x
  3. Step 3: Cross multiply
    9,734x = 13,435.32 × 5,544.72
  4. Step 4: Simplify right side
    9,734x = 74,495,087.51
  5. Step 5: Solve for x
    x = 74,495,087.51/9,734
  6. Step 6: Final answer
    x = 7,653.08

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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.