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Finding the Fourth Proportional to 9,980.64, 14,971.12 and 4,785.30

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Solution

The fourth proportional to 9,980.64, 14,971.12 and 4,785.30 is: 7,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.64 : 14,971.12 = 4,785.30 : x
  2. Step 2: Convert to fraction form
    9,980.64/14,971.12 = 4,785.30/x
  3. Step 3: Cross multiply
    9,980.64x = 14,971.12 × 4,785.30
  4. Step 4: Simplify right side
    9,980.64x = 71,641,300.54
  5. Step 5: Solve for x
    x = 71,641,300.54/9,980.64
  6. Step 6: Final answer
    x = 7,178.03

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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.