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Finding the Fourth Proportional to 9,567.41, 13,199.27 and 7,055.46

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Solution

The fourth proportional to 9,567.41, 13,199.27 and 7,055.46 is: 9,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.41 : 13,199.27 = 7,055.46 : x
  2. Step 2: Convert to fraction form
    9,567.41/13,199.27 = 7,055.46/x
  3. Step 3: Cross multiply
    9,567.41x = 13,199.27 × 7,055.46
  4. Step 4: Simplify right side
    9,567.41x = 93,126,886.24
  5. Step 5: Solve for x
    x = 93,126,886.24/9,567.41
  6. Step 6: Final answer
    x = 9,733.77

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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.