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Finding the Fourth Proportional to 9,966.04, 14,942.10 and 4,416.37

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Solution

The fourth proportional to 9,966.04, 14,942.10 and 4,416.37 is: 6,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.04 : 14,942.10 = 4,416.37 : x
  2. Step 2: Convert to fraction form
    9,966.04/14,942.10 = 4,416.37/x
  3. Step 3: Cross multiply
    9,966.04x = 14,942.10 × 4,416.37
  4. Step 4: Simplify right side
    9,966.04x = 65,989,842.18
  5. Step 5: Solve for x
    x = 65,989,842.18/9,966.04
  6. Step 6: Final answer
    x = 6,621.47

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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.