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Finding the Fourth Proportional to 9,830.97, 14,746.28 and 2,435.43

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Solution

The fourth proportional to 9,830.97, 14,746.28 and 2,435.43 is: 3,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.97 : 14,746.28 = 2,435.43 : x
  2. Step 2: Convert to fraction form
    9,830.97/14,746.28 = 2,435.43/x
  3. Step 3: Cross multiply
    9,830.97x = 14,746.28 × 2,435.43
  4. Step 4: Simplify right side
    9,830.97x = 35,913,520.52
  5. Step 5: Solve for x
    x = 35,913,520.52/9,830.97
  6. Step 6: Final answer
    x = 3,653.10

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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.