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Finding the Fourth Proportional to 9,368.84, 12,923.10 and 6,008.12

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Solution

The fourth proportional to 9,368.84, 12,923.10 and 6,008.12 is: 8,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.84 : 12,923.10 = 6,008.12 : x
  2. Step 2: Convert to fraction form
    9,368.84/12,923.10 = 6,008.12/x
  3. Step 3: Cross multiply
    9,368.84x = 12,923.10 × 6,008.12
  4. Step 4: Simplify right side
    9,368.84x = 77,643,535.57
  5. Step 5: Solve for x
    x = 77,643,535.57/9,368.84
  6. Step 6: Final answer
    x = 8,287.42

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1.5x scale

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.