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Finding the Fourth Proportional to 9,146.19, 12,627.83 and 5,615.50

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Solution

The fourth proportional to 9,146.19, 12,627.83 and 5,615.50 is: 7,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.19 : 12,627.83 = 5,615.50 : x
  2. Step 2: Convert to fraction form
    9,146.19/12,627.83 = 5,615.50/x
  3. Step 3: Cross multiply
    9,146.19x = 12,627.83 × 5,615.50
  4. Step 4: Simplify right side
    9,146.19x = 70,911,579.37
  5. Step 5: Solve for x
    x = 70,911,579.37/9,146.19
  6. Step 6: Final answer
    x = 7,753.13

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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.