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Finding the Fourth Proportional to 9,050.64, 13,572 and 4,120.08

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Solution

The fourth proportional to 9,050.64, 13,572 and 4,120.08 is: 6,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.64 : 13,572 = 4,120.08 : x
  2. Step 2: Convert to fraction form
    9,050.64/13,572 = 4,120.08/x
  3. Step 3: Cross multiply
    9,050.64x = 13,572 × 4,120.08
  4. Step 4: Simplify right side
    9,050.64x = 55,917,725.76
  5. Step 5: Solve for x
    x = 55,917,725.76/9,050.64
  6. Step 6: Final answer
    x = 6,178.32

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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.