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Finding the Fourth Proportional to 9,536.86, 13,158.66 and 6,004.72

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Solution

The fourth proportional to 9,536.86, 13,158.66 and 6,004.72 is: 8,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.86 : 13,158.66 = 6,004.72 : x
  2. Step 2: Convert to fraction form
    9,536.86/13,158.66 = 6,004.72/x
  3. Step 3: Cross multiply
    9,536.86x = 13,158.66 × 6,004.72
  4. Step 4: Simplify right side
    9,536.86x = 79,014,068.88
  5. Step 5: Solve for x
    x = 79,014,068.88/9,536.86
  6. Step 6: Final answer
    x = 8,285.12

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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.