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Finding the Fourth Proportional to 9,813.66, 14,700.78 and 4,541.28

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Solution

The fourth proportional to 9,813.66, 14,700.78 and 4,541.28 is: 6,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.66 : 14,700.78 = 4,541.28 : x
  2. Step 2: Convert to fraction form
    9,813.66/14,700.78 = 4,541.28/x
  3. Step 3: Cross multiply
    9,813.66x = 14,700.78 × 4,541.28
  4. Step 4: Simplify right side
    9,813.66x = 66,760,358.20
  5. Step 5: Solve for x
    x = 66,760,358.20/9,813.66
  6. Step 6: Final answer
    x = 6,802.80

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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.