Home / 9,738.88-14,617-4,547.68

Finding the Fourth Proportional to 9,738.88, 14,617 and 4,547.68

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Solution

The fourth proportional to 9,738.88, 14,617 and 4,547.68 is: 6,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.88 : 14,617 = 4,547.68 : x
  2. Step 2: Convert to fraction form
    9,738.88/14,617 = 4,547.68/x
  3. Step 3: Cross multiply
    9,738.88x = 14,617 × 4,547.68
  4. Step 4: Simplify right side
    9,738.88x = 66,473,438.56
  5. Step 5: Solve for x
    x = 66,473,438.56/9,738.88
  6. Step 6: Final answer
    x = 6,825.57

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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.