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Finding the Fourth Proportional to 6,437.60, 9,656.40 and 2,541.50

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Solution

The fourth proportional to 6,437.60, 9,656.40 and 2,541.50 is: 3,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.60 : 9,656.40 = 2,541.50 : x
  2. Step 2: Convert to fraction form
    6,437.60/9,656.40 = 2,541.50/x
  3. Step 3: Cross multiply
    6,437.60x = 9,656.40 × 2,541.50
  4. Step 4: Simplify right side
    6,437.60x = 24,541,740.60
  5. Step 5: Solve for x
    x = 24,541,740.60/6,437.60
  6. Step 6: Final answer
    x = 3,812.25

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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.