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Finding the Fourth Proportional to 7,148.48, 9,861.59 and 4,631.45

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Solution

The fourth proportional to 7,148.48, 9,861.59 and 4,631.45 is: 6,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.48 : 9,861.59 = 4,631.45 : x
  2. Step 2: Convert to fraction form
    7,148.48/9,861.59 = 4,631.45/x
  3. Step 3: Cross multiply
    7,148.48x = 9,861.59 × 4,631.45
  4. Step 4: Simplify right side
    7,148.48x = 45,673,497.24
  5. Step 5: Solve for x
    x = 45,673,497.24/7,148.48
  6. Step 6: Final answer
    x = 6,389.26

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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.