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Finding the Fourth Proportional to 9,204.95, 13,807.10 and 5,046.93

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Solution

The fourth proportional to 9,204.95, 13,807.10 and 5,046.93 is: 7,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.95 : 13,807.10 = 5,046.93 : x
  2. Step 2: Convert to fraction form
    9,204.95/13,807.10 = 5,046.93/x
  3. Step 3: Cross multiply
    9,204.95x = 13,807.10 × 5,046.93
  4. Step 4: Simplify right side
    9,204.95x = 69,683,441.97
  5. Step 5: Solve for x
    x = 69,683,441.97/9,204.95
  6. Step 6: Final answer
    x = 7,570.22

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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.