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Finding the Fourth Proportional to 9,302.96, 12,836.40 and 7,064.24

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Solution

The fourth proportional to 9,302.96, 12,836.40 and 7,064.24 is: 9,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.96 : 12,836.40 = 7,064.24 : x
  2. Step 2: Convert to fraction form
    9,302.96/12,836.40 = 7,064.24/x
  3. Step 3: Cross multiply
    9,302.96x = 12,836.40 × 7,064.24
  4. Step 4: Simplify right side
    9,302.96x = 90,679,410.34
  5. Step 5: Solve for x
    x = 90,679,410.34/9,302.96
  6. Step 6: Final answer
    x = 9,747.37

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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.