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Finding the Fourth Proportional to 9,984.84, 14,972.92 and 5,303.82

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Solution

The fourth proportional to 9,984.84, 14,972.92 and 5,303.82 is: 7,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.84 : 14,972.92 = 5,303.82 : x
  2. Step 2: Convert to fraction form
    9,984.84/14,972.92 = 5,303.82/x
  3. Step 3: Cross multiply
    9,984.84x = 14,972.92 × 5,303.82
  4. Step 4: Simplify right side
    9,984.84x = 79,413,672.55
  5. Step 5: Solve for x
    x = 79,413,672.55/9,984.84
  6. Step 6: Final answer
    x = 7,953.42

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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.