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Finding the Fourth Proportional to 9,758.66, 14,609.28 and 6,048.98

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Solution

The fourth proportional to 9,758.66, 14,609.28 and 6,048.98 is: 9,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.66 : 14,609.28 = 6,048.98 : x
  2. Step 2: Convert to fraction form
    9,758.66/14,609.28 = 6,048.98/x
  3. Step 3: Cross multiply
    9,758.66x = 14,609.28 × 6,048.98
  4. Step 4: Simplify right side
    9,758.66x = 88,371,242.53
  5. Step 5: Solve for x
    x = 88,371,242.53/9,758.66
  6. Step 6: Final answer
    x = 9,055.67

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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.