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Finding the Fourth Proportional to 9,312.56, 12,842.51 and 5,956.42

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Solution

The fourth proportional to 9,312.56, 12,842.51 and 5,956.42 is: 8,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.56 : 12,842.51 = 5,956.42 : x
  2. Step 2: Convert to fraction form
    9,312.56/12,842.51 = 5,956.42/x
  3. Step 3: Cross multiply
    9,312.56x = 12,842.51 × 5,956.42
  4. Step 4: Simplify right side
    9,312.56x = 76,495,383.41
  5. Step 5: Solve for x
    x = 76,495,383.41/9,312.56
  6. Step 6: Final answer
    x = 8,214.22

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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.