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Finding the Fourth Proportional to 9,237.84, 12,764.52 and 6,844.38

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Solution

The fourth proportional to 9,237.84, 12,764.52 and 6,844.38 is: 9,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 12,764.52 = 6,844.38 : x
  2. Step 2: Convert to fraction form
    9,237.84/12,764.52 = 6,844.38/x
  3. Step 3: Cross multiply
    9,237.84x = 12,764.52 × 6,844.38
  4. Step 4: Simplify right side
    9,237.84x = 87,365,225.40
  5. Step 5: Solve for x
    x = 87,365,225.40/9,237.84
  6. Step 6: Final answer
    x = 9,457.32

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Double scale
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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.