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Finding the Fourth Proportional to 9,102.99, 12,562.54 and 5,124.36

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Solution

The fourth proportional to 9,102.99, 12,562.54 and 5,124.36 is: 7,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.99 : 12,562.54 = 5,124.36 : x
  2. Step 2: Convert to fraction form
    9,102.99/12,562.54 = 5,124.36/x
  3. Step 3: Cross multiply
    9,102.99x = 12,562.54 × 5,124.36
  4. Step 4: Simplify right side
    9,102.99x = 64,374,977.47
  5. Step 5: Solve for x
    x = 64,374,977.47/9,102.99
  6. Step 6: Final answer
    x = 7,071.85

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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.