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Finding the Fourth Proportional to 9,477.38, 14,210.60 and 4,212.38

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Solution

The fourth proportional to 9,477.38, 14,210.60 and 4,212.38 is: 6,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.38 : 14,210.60 = 4,212.38 : x
  2. Step 2: Convert to fraction form
    9,477.38/14,210.60 = 4,212.38/x
  3. Step 3: Cross multiply
    9,477.38x = 14,210.60 × 4,212.38
  4. Step 4: Simplify right side
    9,477.38x = 59,860,355.11
  5. Step 5: Solve for x
    x = 59,860,355.11/9,477.38
  6. Step 6: Final answer
    x = 6,316.13

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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.