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Finding the Fourth Proportional to 9,289.02, 12,814.08 and 6,101.88

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Solution

The fourth proportional to 9,289.02, 12,814.08 and 6,101.88 is: 8,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.02 : 12,814.08 = 6,101.88 : x
  2. Step 2: Convert to fraction form
    9,289.02/12,814.08 = 6,101.88/x
  3. Step 3: Cross multiply
    9,289.02x = 12,814.08 × 6,101.88
  4. Step 4: Simplify right side
    9,289.02x = 78,189,978.47
  5. Step 5: Solve for x
    x = 78,189,978.47/9,289.02
  6. Step 6: Final answer
    x = 8,417.46

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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.