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Finding the Fourth Proportional to 9,595.40, 14,390.22 and 4,975.88

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Solution

The fourth proportional to 9,595.40, 14,390.22 and 4,975.88 is: 7,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.40 : 14,390.22 = 4,975.88 : x
  2. Step 2: Convert to fraction form
    9,595.40/14,390.22 = 4,975.88/x
  3. Step 3: Cross multiply
    9,595.40x = 14,390.22 × 4,975.88
  4. Step 4: Simplify right side
    9,595.40x = 71,604,007.89
  5. Step 5: Solve for x
    x = 71,604,007.89/9,595.40
  6. Step 6: Final answer
    x = 7,462.33

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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.