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Finding the Fourth Proportional to 9,448.56, 13,039.64 and 6,310

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Solution

The fourth proportional to 9,448.56, 13,039.64 and 6,310 is: 8,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.56 : 13,039.64 = 6,310 : x
  2. Step 2: Convert to fraction form
    9,448.56/13,039.64 = 6,310/x
  3. Step 3: Cross multiply
    9,448.56x = 13,039.64 × 6,310
  4. Step 4: Simplify right side
    9,448.56x = 82,280,128.40
  5. Step 5: Solve for x
    x = 82,280,128.40/9,448.56
  6. Step 6: Final answer
    x = 8,708.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.