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Finding the Fourth Proportional to 9,595.79, 14,393.68 and 4,047.66

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Solution

The fourth proportional to 9,595.79, 14,393.68 and 4,047.66 is: 6,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.79 : 14,393.68 = 4,047.66 : x
  2. Step 2: Convert to fraction form
    9,595.79/14,393.68 = 4,047.66/x
  3. Step 3: Cross multiply
    9,595.79x = 14,393.68 × 4,047.66
  4. Step 4: Simplify right side
    9,595.79x = 58,260,722.79
  5. Step 5: Solve for x
    x = 58,260,722.79/9,595.79
  6. Step 6: Final answer
    x = 6,071.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.