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Finding the Fourth Proportional to 9,148.95, 12,625.67 and 5,374.96

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Solution

The fourth proportional to 9,148.95, 12,625.67 and 5,374.96 is: 7,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.95 : 12,625.67 = 5,374.96 : x
  2. Step 2: Convert to fraction form
    9,148.95/12,625.67 = 5,374.96/x
  3. Step 3: Cross multiply
    9,148.95x = 12,625.67 × 5,374.96
  4. Step 4: Simplify right side
    9,148.95x = 67,862,453.10
  5. Step 5: Solve for x
    x = 67,862,453.10/9,148.95
  6. Step 6: Final answer
    x = 7,417.51

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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.