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Finding the Fourth Proportional to 9,984.84, 14,948.28 and 5,812.12

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Solution

The fourth proportional to 9,984.84, 14,948.28 and 5,812.12 is: 8,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.84 : 14,948.28 = 5,812.12 : x
  2. Step 2: Convert to fraction form
    9,984.84/14,948.28 = 5,812.12/x
  3. Step 3: Cross multiply
    9,984.84x = 14,948.28 × 5,812.12
  4. Step 4: Simplify right side
    9,984.84x = 86,881,197.15
  5. Step 5: Solve for x
    x = 86,881,197.15/9,984.84
  6. Step 6: Final answer
    x = 8,701.31

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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.