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Finding the Fourth Proportional to 9,670.43, 13,345.08 and 5,421.47

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Solution

The fourth proportional to 9,670.43, 13,345.08 and 5,421.47 is: 7,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.43 : 13,345.08 = 5,421.47 : x
  2. Step 2: Convert to fraction form
    9,670.43/13,345.08 = 5,421.47/x
  3. Step 3: Cross multiply
    9,670.43x = 13,345.08 × 5,421.47
  4. Step 4: Simplify right side
    9,670.43x = 72,349,950.87
  5. Step 5: Solve for x
    x = 72,349,950.87/9,670.43
  6. Step 6: Final answer
    x = 7,481.57

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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.