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Finding the Fourth Proportional to 9,152.00, 12,620.32 and 7,830.08

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Solution

The fourth proportional to 9,152.00, 12,620.32 and 7,830.08 is: 10,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.00 : 12,620.32 = 7,830.08 : x
  2. Step 2: Convert to fraction form
    9,152.00/12,620.32 = 7,830.08/x
  3. Step 3: Cross multiply
    9,152.00x = 12,620.32 × 7,830.08
  4. Step 4: Simplify right side
    9,152.00x = 98,818,052.12
  5. Step 5: Solve for x
    x = 98,818,052.12/9,152.00
  6. Step 6: Final answer
    x = 10,797.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.