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Finding the Fourth Proportional to 9,386.96, 12,956.32 and 6,742.32

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Solution

The fourth proportional to 9,386.96, 12,956.32 and 6,742.32 is: 9,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.96 : 12,956.32 = 6,742.32 : x
  2. Step 2: Convert to fraction form
    9,386.96/12,956.32 = 6,742.32/x
  3. Step 3: Cross multiply
    9,386.96x = 12,956.32 × 6,742.32
  4. Step 4: Simplify right side
    9,386.96x = 87,355,655.46
  5. Step 5: Solve for x
    x = 87,355,655.46/9,386.96
  6. Step 6: Final answer
    x = 9,306.06

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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.