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Finding the Fourth Proportional to 6,510.47, 9,763.68 and 2,349.93

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Solution

The fourth proportional to 6,510.47, 9,763.68 and 2,349.93 is: 3,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.47 : 9,763.68 = 2,349.93 : x
  2. Step 2: Convert to fraction form
    6,510.47/9,763.68 = 2,349.93/x
  3. Step 3: Cross multiply
    6,510.47x = 9,763.68 × 2,349.93
  4. Step 4: Simplify right side
    6,510.47x = 22,943,964.54
  5. Step 5: Solve for x
    x = 22,943,964.54/6,510.47
  6. Step 6: Final answer
    x = 3,524.17

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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.