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Finding the Fourth Proportional to 9,396.81, 12,967.51 and 5,417.84

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Solution

The fourth proportional to 9,396.81, 12,967.51 and 5,417.84 is: 7,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.81 : 12,967.51 = 5,417.84 : x
  2. Step 2: Convert to fraction form
    9,396.81/12,967.51 = 5,417.84/x
  3. Step 3: Cross multiply
    9,396.81x = 12,967.51 × 5,417.84
  4. Step 4: Simplify right side
    9,396.81x = 70,255,894.38
  5. Step 5: Solve for x
    x = 70,255,894.38/9,396.81
  6. Step 6: Final answer
    x = 7,476.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.