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Finding the Fourth Proportional to 9,255.51, 13,877.10 and 5,097.47

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Solution

The fourth proportional to 9,255.51, 13,877.10 and 5,097.47 is: 7,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.51 : 13,877.10 = 5,097.47 : x
  2. Step 2: Convert to fraction form
    9,255.51/13,877.10 = 5,097.47/x
  3. Step 3: Cross multiply
    9,255.51x = 13,877.10 × 5,097.47
  4. Step 4: Simplify right side
    9,255.51x = 70,738,031.55
  5. Step 5: Solve for x
    x = 70,738,031.55/9,255.51
  6. Step 6: Final answer
    x = 7,642.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.