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Finding the Fourth Proportional to 6,507.48, 9,739.32 and 4,921.89

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Solution

The fourth proportional to 6,507.48, 9,739.32 and 4,921.89 is: 7,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.48 : 9,739.32 = 4,921.89 : x
  2. Step 2: Convert to fraction form
    6,507.48/9,739.32 = 4,921.89/x
  3. Step 3: Cross multiply
    6,507.48x = 9,739.32 × 4,921.89
  4. Step 4: Simplify right side
    6,507.48x = 47,935,861.71
  5. Step 5: Solve for x
    x = 47,935,861.71/6,507.48
  6. Step 6: Final answer
    x = 7,366.27

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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.