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Finding the Fourth Proportional to 9,778.65, 14,675.26 and 4,588.17

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Solution

The fourth proportional to 9,778.65, 14,675.26 and 4,588.17 is: 6,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.65 : 14,675.26 = 4,588.17 : x
  2. Step 2: Convert to fraction form
    9,778.65/14,675.26 = 4,588.17/x
  3. Step 3: Cross multiply
    9,778.65x = 14,675.26 × 4,588.17
  4. Step 4: Simplify right side
    9,778.65x = 67,332,587.67
  5. Step 5: Solve for x
    x = 67,332,587.67/9,778.65
  6. Step 6: Final answer
    x = 6,885.67

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