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Finding the Fourth Proportional to 9,564.40, 14,349.11 and 2,990.31

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Solution

The fourth proportional to 9,564.40, 14,349.11 and 2,990.31 is: 4,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.40 : 14,349.11 = 2,990.31 : x
  2. Step 2: Convert to fraction form
    9,564.40/14,349.11 = 2,990.31/x
  3. Step 3: Cross multiply
    9,564.40x = 14,349.11 × 2,990.31
  4. Step 4: Simplify right side
    9,564.40x = 42,908,218.36
  5. Step 5: Solve for x
    x = 42,908,218.36/9,564.40
  6. Step 6: Final answer
    x = 4,486.24

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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.