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Finding the Fourth Proportional to 9,852.40, 14,778.60 and 4,668.40

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Solution

The fourth proportional to 9,852.40, 14,778.60 and 4,668.40 is: 7,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.40 : 14,778.60 = 4,668.40 : x
  2. Step 2: Convert to fraction form
    9,852.40/14,778.60 = 4,668.40/x
  3. Step 3: Cross multiply
    9,852.40x = 14,778.60 × 4,668.40
  4. Step 4: Simplify right side
    9,852.40x = 68,992,416.24
  5. Step 5: Solve for x
    x = 68,992,416.24/9,852.40
  6. Step 6: Final answer
    x = 7,002.60

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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.