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Finding the Fourth Proportional to 9,277.84, 13,920.16 and 4,349.08

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Solution

The fourth proportional to 9,277.84, 13,920.16 and 4,349.08 is: 6,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.84 : 13,920.16 = 4,349.08 : x
  2. Step 2: Convert to fraction form
    9,277.84/13,920.16 = 4,349.08/x
  3. Step 3: Cross multiply
    9,277.84x = 13,920.16 × 4,349.08
  4. Step 4: Simplify right side
    9,277.84x = 60,539,889.45
  5. Step 5: Solve for x
    x = 60,539,889.45/9,277.84
  6. Step 6: Final answer
    x = 6,525.21

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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.