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Finding the Fourth Proportional to 9,778.16, 13,492.10 and 5,528.09

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Solution

The fourth proportional to 9,778.16, 13,492.10 and 5,528.09 is: 7,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.16 : 13,492.10 = 5,528.09 : x
  2. Step 2: Convert to fraction form
    9,778.16/13,492.10 = 5,528.09/x
  3. Step 3: Cross multiply
    9,778.16x = 13,492.10 × 5,528.09
  4. Step 4: Simplify right side
    9,778.16x = 74,585,515.45
  5. Step 5: Solve for x
    x = 74,585,515.45/9,778.16
  6. Step 6: Final answer
    x = 7,627.77

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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.