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Finding the Fourth Proportional to 9,604.76, 13,254.56 and 5,188.76

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Solution

The fourth proportional to 9,604.76, 13,254.56 and 5,188.76 is: 7,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.76 : 13,254.56 = 5,188.76 : x
  2. Step 2: Convert to fraction form
    9,604.76/13,254.56 = 5,188.76/x
  3. Step 3: Cross multiply
    9,604.76x = 13,254.56 × 5,188.76
  4. Step 4: Simplify right side
    9,604.76x = 68,774,730.75
  5. Step 5: Solve for x
    x = 68,774,730.75/9,604.76
  6. Step 6: Final answer
    x = 7,160.48

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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.