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Finding the Fourth Proportional to 9,417.65, 14,111.46 and 4,975.14

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Solution

The fourth proportional to 9,417.65, 14,111.46 and 4,975.14 is: 7,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.65 : 14,111.46 = 4,975.14 : x
  2. Step 2: Convert to fraction form
    9,417.65/14,111.46 = 4,975.14/x
  3. Step 3: Cross multiply
    9,417.65x = 14,111.46 × 4,975.14
  4. Step 4: Simplify right side
    9,417.65x = 70,206,489.10
  5. Step 5: Solve for x
    x = 70,206,489.10/9,417.65
  6. Step 6: Final answer
    x = 7,454.78

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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.