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Finding the Fourth Proportional to 9,648.64, 13,312.96 and 5,873.76

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Solution

The fourth proportional to 9,648.64, 13,312.96 and 5,873.76 is: 8,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.64 : 13,312.96 = 5,873.76 : x
  2. Step 2: Convert to fraction form
    9,648.64/13,312.96 = 5,873.76/x
  3. Step 3: Cross multiply
    9,648.64x = 13,312.96 × 5,873.76
  4. Step 4: Simplify right side
    9,648.64x = 78,197,131.93
  5. Step 5: Solve for x
    x = 78,197,131.93/9,648.64
  6. Step 6: Final answer
    x = 8,104.47

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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.