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Finding the Fourth Proportional to 10,245.17, 14,140.62 and 6,706.32

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Solution

The fourth proportional to 10,245.17, 14,140.62 and 6,706.32 is: 9,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.17 : 14,140.62 = 6,706.32 : x
  2. Step 2: Convert to fraction form
    10,245.17/14,140.62 = 6,706.32/x
  3. Step 3: Cross multiply
    10,245.17x = 14,140.62 × 6,706.32
  4. Step 4: Simplify right side
    10,245.17x = 94,831,522.72
  5. Step 5: Solve for x
    x = 94,831,522.72/10,245.17
  6. Step 6: Final answer
    x = 9,256.22

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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.