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Finding the Fourth Proportional to 6,442.54, 9,666.57 and 2,746.51

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Solution

The fourth proportional to 6,442.54, 9,666.57 and 2,746.51 is: 4,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.54 : 9,666.57 = 2,746.51 : x
  2. Step 2: Convert to fraction form
    6,442.54/9,666.57 = 2,746.51/x
  3. Step 3: Cross multiply
    6,442.54x = 9,666.57 × 2,746.51
  4. Step 4: Simplify right side
    6,442.54x = 26,549,331.17
  5. Step 5: Solve for x
    x = 26,549,331.17/6,442.54
  6. Step 6: Final answer
    x = 4,120.94

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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.