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Finding the Fourth Proportional to 9,014, 12,439.56 and 5,875.76

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Solution

The fourth proportional to 9,014, 12,439.56 and 5,875.76 is: 8,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014 : 12,439.56 = 5,875.76 : x
  2. Step 2: Convert to fraction form
    9,014/12,439.56 = 5,875.76/x
  3. Step 3: Cross multiply
    9,014x = 12,439.56 × 5,875.76
  4. Step 4: Simplify right side
    9,014x = 73,091,869.07
  5. Step 5: Solve for x
    x = 73,091,869.07/9,014
  6. Step 6: Final answer
    x = 8,108.71

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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.