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Finding the Fourth Proportional to 9,448.84, 13,039.80 and 5,257

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Solution

The fourth proportional to 9,448.84, 13,039.80 and 5,257 is: 7,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.84 : 13,039.80 = 5,257 : x
  2. Step 2: Convert to fraction form
    9,448.84/13,039.80 = 5,257/x
  3. Step 3: Cross multiply
    9,448.84x = 13,039.80 × 5,257
  4. Step 4: Simplify right side
    9,448.84x = 68,550,228.60
  5. Step 5: Solve for x
    x = 68,550,228.60/9,448.84
  6. Step 6: Final answer
    x = 7,254.88

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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.