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Finding the Fourth Proportional to 9,683.84, 13,364.34 and 5,492.90

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Solution

The fourth proportional to 9,683.84, 13,364.34 and 5,492.90 is: 7,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.84 : 13,364.34 = 5,492.90 : x
  2. Step 2: Convert to fraction form
    9,683.84/13,364.34 = 5,492.90/x
  3. Step 3: Cross multiply
    9,683.84x = 13,364.34 × 5,492.90
  4. Step 4: Simplify right side
    9,683.84x = 73,408,983.19
  5. Step 5: Solve for x
    x = 73,408,983.19/9,683.84
  6. Step 6: Final answer
    x = 7,580.57

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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.