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Finding the Fourth Proportional to 9,496, 14,246.88 and 3,340

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Solution

The fourth proportional to 9,496, 14,246.88 and 3,340 is: 5,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 14,246.88 = 3,340 : x
  2. Step 2: Convert to fraction form
    9,496/14,246.88 = 3,340/x
  3. Step 3: Cross multiply
    9,496x = 14,246.88 × 3,340
  4. Step 4: Simplify right side
    9,496x = 47,584,579.20
  5. Step 5: Solve for x
    x = 47,584,579.20/9,496
  6. Step 6: Final answer
    x = 5,011.01

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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.