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Finding the Fourth Proportional to 6,152.46, 9,208.62 and 4,508.64

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Solution

The fourth proportional to 6,152.46, 9,208.62 and 4,508.64 is: 6,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.46 : 9,208.62 = 4,508.64 : x
  2. Step 2: Convert to fraction form
    6,152.46/9,208.62 = 4,508.64/x
  3. Step 3: Cross multiply
    6,152.46x = 9,208.62 × 4,508.64
  4. Step 4: Simplify right side
    6,152.46x = 41,518,352.48
  5. Step 5: Solve for x
    x = 41,518,352.48/6,152.46
  6. Step 6: Final answer
    x = 6,748.25

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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.