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Finding the Fourth Proportional to 9,614.30, 14,418 and 4,929.66

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Solution

The fourth proportional to 9,614.30, 14,418 and 4,929.66 is: 7,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.30 : 14,418 = 4,929.66 : x
  2. Step 2: Convert to fraction form
    9,614.30/14,418 = 4,929.66/x
  3. Step 3: Cross multiply
    9,614.30x = 14,418 × 4,929.66
  4. Step 4: Simplify right side
    9,614.30x = 71,075,837.88
  5. Step 5: Solve for x
    x = 71,075,837.88/9,614.30
  6. Step 6: Final answer
    x = 7,392.72

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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.