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Finding the Fourth Proportional to 9,807.90, 14,700.43 and 4,531.83

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Solution

The fourth proportional to 9,807.90, 14,700.43 and 4,531.83 is: 6,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.90 : 14,700.43 = 4,531.83 : x
  2. Step 2: Convert to fraction form
    9,807.90/14,700.43 = 4,531.83/x
  3. Step 3: Cross multiply
    9,807.90x = 14,700.43 × 4,531.83
  4. Step 4: Simplify right side
    9,807.90x = 66,619,849.69
  5. Step 5: Solve for x
    x = 66,619,849.69/9,807.90
  6. Step 6: Final answer
    x = 6,792.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.