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Finding the Fourth Proportional to 7,054.84, 9,735.74 and 3,911

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Solution

The fourth proportional to 7,054.84, 9,735.74 and 3,911 is: 5,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.84 : 9,735.74 = 3,911 : x
  2. Step 2: Convert to fraction form
    7,054.84/9,735.74 = 3,911/x
  3. Step 3: Cross multiply
    7,054.84x = 9,735.74 × 3,911
  4. Step 4: Simplify right side
    7,054.84x = 38,076,479.14
  5. Step 5: Solve for x
    x = 38,076,479.14/7,054.84
  6. Step 6: Final answer
    x = 5,397.21

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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.