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Finding the Fourth Proportional to 9,858.18, 14,773.69 and 4,316.16

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Solution

The fourth proportional to 9,858.18, 14,773.69 and 4,316.16 is: 6,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.18 : 14,773.69 = 4,316.16 : x
  2. Step 2: Convert to fraction form
    9,858.18/14,773.69 = 4,316.16/x
  3. Step 3: Cross multiply
    9,858.18x = 14,773.69 × 4,316.16
  4. Step 4: Simplify right side
    9,858.18x = 63,765,609.83
  5. Step 5: Solve for x
    x = 63,765,609.83/9,858.18
  6. Step 6: Final answer
    x = 6,468.29

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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.