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Finding the Fourth Proportional to 9,374.95, 12,921.46 and 8,580.46

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Solution

The fourth proportional to 9,374.95, 12,921.46 and 8,580.46 is: 11,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.95 : 12,921.46 = 8,580.46 : x
  2. Step 2: Convert to fraction form
    9,374.95/12,921.46 = 8,580.46/x
  3. Step 3: Cross multiply
    9,374.95x = 12,921.46 × 8,580.46
  4. Step 4: Simplify right side
    9,374.95x = 110,872,070.67
  5. Step 5: Solve for x
    x = 110,872,070.67/9,374.95
  6. Step 6: Final answer
    x = 11,826.42

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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.