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Finding the Fourth Proportional to 6,557.32, 9,826.44 and 4,053.16

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Solution

The fourth proportional to 6,557.32, 9,826.44 and 4,053.16 is: 6,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.32 : 9,826.44 = 4,053.16 : x
  2. Step 2: Convert to fraction form
    6,557.32/9,826.44 = 4,053.16/x
  3. Step 3: Cross multiply
    6,557.32x = 9,826.44 × 4,053.16
  4. Step 4: Simplify right side
    6,557.32x = 39,828,133.55
  5. Step 5: Solve for x
    x = 39,828,133.55/6,557.32
  6. Step 6: Final answer
    x = 6,073.84

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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.