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Finding the Fourth Proportional to 9,684.53, 13,364.66 and 5,492.78

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Solution

The fourth proportional to 9,684.53, 13,364.66 and 5,492.78 is: 7,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.53 : 13,364.66 = 5,492.78 : x
  2. Step 2: Convert to fraction form
    9,684.53/13,364.66 = 5,492.78/x
  3. Step 3: Cross multiply
    9,684.53x = 13,364.66 × 5,492.78
  4. Step 4: Simplify right side
    9,684.53x = 73,409,109.69
  5. Step 5: Solve for x
    x = 73,409,109.69/9,684.53
  6. Step 6: Final answer
    x = 7,580.04

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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.