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Finding the Fourth Proportional to 9,051.95, 12,494.76 and 5,700.38

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Solution

The fourth proportional to 9,051.95, 12,494.76 and 5,700.38 is: 7,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.95 : 12,494.76 = 5,700.38 : x
  2. Step 2: Convert to fraction form
    9,051.95/12,494.76 = 5,700.38/x
  3. Step 3: Cross multiply
    9,051.95x = 12,494.76 × 5,700.38
  4. Step 4: Simplify right side
    9,051.95x = 71,224,796.16
  5. Step 5: Solve for x
    x = 71,224,796.16/9,051.95
  6. Step 6: Final answer
    x = 7,868.45

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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.