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Finding the Fourth Proportional to 9,856.90, 14,787.02 and 4,310.12

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Solution

The fourth proportional to 9,856.90, 14,787.02 and 4,310.12 is: 6,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.90 : 14,787.02 = 4,310.12 : x
  2. Step 2: Convert to fraction form
    9,856.90/14,787.02 = 4,310.12/x
  3. Step 3: Cross multiply
    9,856.90x = 14,787.02 × 4,310.12
  4. Step 4: Simplify right side
    9,856.90x = 63,733,756.71
  5. Step 5: Solve for x
    x = 63,733,756.71/9,856.90
  6. Step 6: Final answer
    x = 6,465.91

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Why These Related Problems?

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