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Finding the Fourth Proportional to 9,852.18, 14,795.90 and 9,455.80

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Solution

The fourth proportional to 9,852.18, 14,795.90 and 9,455.80 is: 14,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.18 : 14,795.90 = 9,455.80 : x
  2. Step 2: Convert to fraction form
    9,852.18/14,795.90 = 9,455.80/x
  3. Step 3: Cross multiply
    9,852.18x = 14,795.90 × 9,455.80
  4. Step 4: Simplify right side
    9,852.18x = 139,907,071.22
  5. Step 5: Solve for x
    x = 139,907,071.22/9,852.18
  6. Step 6: Final answer
    x = 14,200.62

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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.