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Finding the Fourth Proportional to 9,916.32, 14,866.24 and 7,734.72

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Solution

The fourth proportional to 9,916.32, 14,866.24 and 7,734.72 is: 11,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.32 : 14,866.24 = 7,734.72 : x
  2. Step 2: Convert to fraction form
    9,916.32/14,866.24 = 7,734.72/x
  3. Step 3: Cross multiply
    9,916.32x = 14,866.24 × 7,734.72
  4. Step 4: Simplify right side
    9,916.32x = 114,986,203.85
  5. Step 5: Solve for x
    x = 114,986,203.85/9,916.32
  6. Step 6: Final answer
    x = 11,595.65

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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.