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Finding the Fourth Proportional to 9,940.42, 14,878.18 and 7,307.24

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Solution

The fourth proportional to 9,940.42, 14,878.18 and 7,307.24 is: 10,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.42 : 14,878.18 = 7,307.24 : x
  2. Step 2: Convert to fraction form
    9,940.42/14,878.18 = 7,307.24/x
  3. Step 3: Cross multiply
    9,940.42x = 14,878.18 × 7,307.24
  4. Step 4: Simplify right side
    9,940.42x = 108,718,432.02
  5. Step 5: Solve for x
    x = 108,718,432.02/9,940.42
  6. Step 6: Final answer
    x = 10,937.01

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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.