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Finding the Fourth Proportional to 9,921.12, 14,884.20 and 7,005.12

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Solution

The fourth proportional to 9,921.12, 14,884.20 and 7,005.12 is: 10,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.12 : 14,884.20 = 7,005.12 : x
  2. Step 2: Convert to fraction form
    9,921.12/14,884.20 = 7,005.12/x
  3. Step 3: Cross multiply
    9,921.12x = 14,884.20 × 7,005.12
  4. Step 4: Simplify right side
    9,921.12x = 104,265,607.10
  5. Step 5: Solve for x
    x = 104,265,607.10/9,921.12
  6. Step 6: Final answer
    x = 10,509.46

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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.