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Finding the Fourth Proportional to 6,509.76, 9,762.40 and 2,126.13

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Solution

The fourth proportional to 6,509.76, 9,762.40 and 2,126.13 is: 3,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.76 : 9,762.40 = 2,126.13 : x
  2. Step 2: Convert to fraction form
    6,509.76/9,762.40 = 2,126.13/x
  3. Step 3: Cross multiply
    6,509.76x = 9,762.40 × 2,126.13
  4. Step 4: Simplify right side
    6,509.76x = 20,756,131.51
  5. Step 5: Solve for x
    x = 20,756,131.51/6,509.76
  6. Step 6: Final answer
    x = 3,188.46

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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.