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Finding the Fourth Proportional to 6,437.60, 9,653.77 and 4,358.18

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Solution

The fourth proportional to 6,437.60, 9,653.77 and 4,358.18 is: 6,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.60 : 9,653.77 = 4,358.18 : x
  2. Step 2: Convert to fraction form
    6,437.60/9,653.77 = 4,358.18/x
  3. Step 3: Cross multiply
    6,437.60x = 9,653.77 × 4,358.18
  4. Step 4: Simplify right side
    6,437.60x = 42,072,797.28
  5. Step 5: Solve for x
    x = 42,072,797.28/6,437.60
  6. Step 6: Final answer
    x = 6,535.48

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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.