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Finding the Fourth Proportional to 9,152.95, 12,630.57 and 5,173.84

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Solution

The fourth proportional to 9,152.95, 12,630.57 and 5,173.84 is: 7,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.95 : 12,630.57 = 5,173.84 : x
  2. Step 2: Convert to fraction form
    9,152.95/12,630.57 = 5,173.84/x
  3. Step 3: Cross multiply
    9,152.95x = 12,630.57 × 5,173.84
  4. Step 4: Simplify right side
    9,152.95x = 65,348,548.29
  5. Step 5: Solve for x
    x = 65,348,548.29/9,152.95
  6. Step 6: Final answer
    x = 7,139.62

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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.