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Finding the Fourth Proportional to 9,126.83, 12,595.00 and 5,147.93

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Solution

The fourth proportional to 9,126.83, 12,595.00 and 5,147.93 is: 7,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.83 : 12,595.00 = 5,147.93 : x
  2. Step 2: Convert to fraction form
    9,126.83/12,595.00 = 5,147.93/x
  3. Step 3: Cross multiply
    9,126.83x = 12,595.00 × 5,147.93
  4. Step 4: Simplify right side
    9,126.83x = 64,838,089.64
  5. Step 5: Solve for x
    x = 64,838,089.64/9,126.83
  6. Step 6: Final answer
    x = 7,104.12

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