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Finding the Fourth Proportional to 6,153.60, 9,208.54 and 4,506.06

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Solution

The fourth proportional to 6,153.60, 9,208.54 and 4,506.06 is: 6,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.60 : 9,208.54 = 4,506.06 : x
  2. Step 2: Convert to fraction form
    6,153.60/9,208.54 = 4,506.06/x
  3. Step 3: Cross multiply
    6,153.60x = 9,208.54 × 4,506.06
  4. Step 4: Simplify right side
    6,153.60x = 41,494,248.57
  5. Step 5: Solve for x
    x = 41,494,248.57/6,153.60
  6. Step 6: Final answer
    x = 6,743.08

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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.