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Finding the Fourth Proportional to 9,746.94, 14,617.10 and 3,171.50

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Solution

The fourth proportional to 9,746.94, 14,617.10 and 3,171.50 is: 4,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.94 : 14,617.10 = 3,171.50 : x
  2. Step 2: Convert to fraction form
    9,746.94/14,617.10 = 3,171.50/x
  3. Step 3: Cross multiply
    9,746.94x = 14,617.10 × 3,171.50
  4. Step 4: Simplify right side
    9,746.94x = 46,358,132.65
  5. Step 5: Solve for x
    x = 46,358,132.65/9,746.94
  6. Step 6: Final answer
    x = 4,756.17

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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.