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Finding the Fourth Proportional to 9,112.50, 12,574.95 and 5,133.38

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Solution

The fourth proportional to 9,112.50, 12,574.95 and 5,133.38 is: 7,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.50 : 12,574.95 = 5,133.38 : x
  2. Step 2: Convert to fraction form
    9,112.50/12,574.95 = 5,133.38/x
  3. Step 3: Cross multiply
    9,112.50x = 12,574.95 × 5,133.38
  4. Step 4: Simplify right side
    9,112.50x = 64,551,914.71
  5. Step 5: Solve for x
    x = 64,551,914.71/9,112.50
  6. Step 6: Final answer
    x = 7,083.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.