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Finding the Fourth Proportional to 9,137.60, 13,700.28 and 4,200.56

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Solution

The fourth proportional to 9,137.60, 13,700.28 and 4,200.56 is: 6,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.60 : 13,700.28 = 4,200.56 : x
  2. Step 2: Convert to fraction form
    9,137.60/13,700.28 = 4,200.56/x
  3. Step 3: Cross multiply
    9,137.60x = 13,700.28 × 4,200.56
  4. Step 4: Simplify right side
    9,137.60x = 57,548,848.16
  5. Step 5: Solve for x
    x = 57,548,848.16/9,137.60
  6. Step 6: Final answer
    x = 6,298.03

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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.