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Finding the Fourth Proportional to 6,509.01, 9,748.93 and 5,043.72

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Solution

The fourth proportional to 6,509.01, 9,748.93 and 5,043.72 is: 7,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.01 : 9,748.93 = 5,043.72 : x
  2. Step 2: Convert to fraction form
    6,509.01/9,748.93 = 5,043.72/x
  3. Step 3: Cross multiply
    6,509.01x = 9,748.93 × 5,043.72
  4. Step 4: Simplify right side
    6,509.01x = 49,170,873.22
  5. Step 5: Solve for x
    x = 49,170,873.22/6,509.01
  6. Step 6: Final answer
    x = 7,554.28

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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.