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Finding the Fourth Proportional to 9,830.46, 14,745.52 and 2,434.93

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Solution

The fourth proportional to 9,830.46, 14,745.52 and 2,434.93 is: 3,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.46 : 14,745.52 = 2,434.93 : x
  2. Step 2: Convert to fraction form
    9,830.46/14,745.52 = 2,434.93/x
  3. Step 3: Cross multiply
    9,830.46x = 14,745.52 × 2,434.93
  4. Step 4: Simplify right side
    9,830.46x = 35,904,309.01
  5. Step 5: Solve for x
    x = 35,904,309.01/9,830.46
  6. Step 6: Final answer
    x = 3,652.35

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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.