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Finding the Fourth Proportional to 9,532.86, 13,156.65 and 5,555.22

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Solution

The fourth proportional to 9,532.86, 13,156.65 and 5,555.22 is: 7,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.86 : 13,156.65 = 5,555.22 : x
  2. Step 2: Convert to fraction form
    9,532.86/13,156.65 = 5,555.22/x
  3. Step 3: Cross multiply
    9,532.86x = 13,156.65 × 5,555.22
  4. Step 4: Simplify right side
    9,532.86x = 73,088,085.21
  5. Step 5: Solve for x
    x = 73,088,085.21/9,532.86
  6. Step 6: Final answer
    x = 7,666.96

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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.