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Finding the Fourth Proportional to 9,852.32, 14,751.16 and 7,665.32

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Solution

The fourth proportional to 9,852.32, 14,751.16 and 7,665.32 is: 11,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.32 : 14,751.16 = 7,665.32 : x
  2. Step 2: Convert to fraction form
    9,852.32/14,751.16 = 7,665.32/x
  3. Step 3: Cross multiply
    9,852.32x = 14,751.16 × 7,665.32
  4. Step 4: Simplify right side
    9,852.32x = 113,072,361.77
  5. Step 5: Solve for x
    x = 113,072,361.77/9,852.32
  6. Step 6: Final answer
    x = 11,476.72

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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.