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Finding the Fourth Proportional to 9,564.36, 14,347.90 and 4,629.94

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Solution

The fourth proportional to 9,564.36, 14,347.90 and 4,629.94 is: 6,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.36 : 14,347.90 = 4,629.94 : x
  2. Step 2: Convert to fraction form
    9,564.36/14,347.90 = 4,629.94/x
  3. Step 3: Cross multiply
    9,564.36x = 14,347.90 × 4,629.94
  4. Step 4: Simplify right side
    9,564.36x = 66,429,916.13
  5. Step 5: Solve for x
    x = 66,429,916.13/9,564.36
  6. Step 6: Final answer
    x = 6,945.57

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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.