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Finding the Fourth Proportional to 9,750.54, 14,620.53 and 5,058.93

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Solution

The fourth proportional to 9,750.54, 14,620.53 and 5,058.93 is: 7,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.54 : 14,620.53 = 5,058.93 : x
  2. Step 2: Convert to fraction form
    9,750.54/14,620.53 = 5,058.93/x
  3. Step 3: Cross multiply
    9,750.54x = 14,620.53 × 5,058.93
  4. Step 4: Simplify right side
    9,750.54x = 73,964,237.83
  5. Step 5: Solve for x
    x = 73,964,237.83/9,750.54
  6. Step 6: Final answer
    x = 7,585.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.