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Finding the Fourth Proportional to 9,235.71, 12,745.12 and 5,256.74

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Solution

The fourth proportional to 9,235.71, 12,745.12 and 5,256.74 is: 7,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.71 : 12,745.12 = 5,256.74 : x
  2. Step 2: Convert to fraction form
    9,235.71/12,745.12 = 5,256.74/x
  3. Step 3: Cross multiply
    9,235.71x = 12,745.12 × 5,256.74
  4. Step 4: Simplify right side
    9,235.71x = 66,997,782.11
  5. Step 5: Solve for x
    x = 66,997,782.11/9,235.71
  6. Step 6: Final answer
    x = 7,254.21

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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.