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Finding the Fourth Proportional to 9,576.88, 13,212.40 and 7,064.96

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Solution

The fourth proportional to 9,576.88, 13,212.40 and 7,064.96 is: 9,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.88 : 13,212.40 = 7,064.96 : x
  2. Step 2: Convert to fraction form
    9,576.88/13,212.40 = 7,064.96/x
  3. Step 3: Cross multiply
    9,576.88x = 13,212.40 × 7,064.96
  4. Step 4: Simplify right side
    9,576.88x = 93,345,077.50
  5. Step 5: Solve for x
    x = 93,345,077.50/9,576.88
  6. Step 6: Final answer
    x = 9,746.92

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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.