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Finding the Fourth Proportional to 28,288.32, 42,435.36 and 9,816

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Solution

The fourth proportional to 28,288.32, 42,435.36 and 9,816 is: 14,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,288.32 : 42,435.36 = 9,816 : x
  2. Step 2: Convert to fraction form
    28,288.32/42,435.36 = 9,816/x
  3. Step 3: Cross multiply
    28,288.32x = 42,435.36 × 9,816
  4. Step 4: Simplify right side
    28,288.32x = 416,545,493.76
  5. Step 5: Solve for x
    x = 416,545,493.76/28,288.32
  6. Step 6: Final answer
    x = 14,725.00

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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.