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Finding the Fourth Proportional to 9,156.52, 12,631.74 and 5,378.46

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Solution

The fourth proportional to 9,156.52, 12,631.74 and 5,378.46 is: 7,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.52 : 12,631.74 = 5,378.46 : x
  2. Step 2: Convert to fraction form
    9,156.52/12,631.74 = 5,378.46/x
  3. Step 3: Cross multiply
    9,156.52x = 12,631.74 × 5,378.46
  4. Step 4: Simplify right side
    9,156.52x = 67,939,308.32
  5. Step 5: Solve for x
    x = 67,939,308.32/9,156.52
  6. Step 6: Final answer
    x = 7,419.77

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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.