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Finding the Fourth Proportional to 7,012.90, 9,670.89 and 5,440.42

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Solution

The fourth proportional to 7,012.90, 9,670.89 and 5,440.42 is: 7,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.90 : 9,670.89 = 5,440.42 : x
  2. Step 2: Convert to fraction form
    7,012.90/9,670.89 = 5,440.42/x
  3. Step 3: Cross multiply
    7,012.90x = 9,670.89 × 5,440.42
  4. Step 4: Simplify right side
    7,012.90x = 52,613,703.37
  5. Step 5: Solve for x
    x = 52,613,703.37/7,012.90
  6. Step 6: Final answer
    x = 7,502.42

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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.