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Finding the Fourth Proportional to 9,354.86, 14,009.94 and 5,184.52

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Solution

The fourth proportional to 9,354.86, 14,009.94 and 5,184.52 is: 7,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.86 : 14,009.94 = 5,184.52 : x
  2. Step 2: Convert to fraction form
    9,354.86/14,009.94 = 5,184.52/x
  3. Step 3: Cross multiply
    9,354.86x = 14,009.94 × 5,184.52
  4. Step 4: Simplify right side
    9,354.86x = 72,634,814.13
  5. Step 5: Solve for x
    x = 72,634,814.13/9,354.86
  6. Step 6: Final answer
    x = 7,764.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.