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Finding the Fourth Proportional to 9,693.81, 14,541.93 and 4,763.61

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Solution

The fourth proportional to 9,693.81, 14,541.93 and 4,763.61 is: 7,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.81 : 14,541.93 = 4,763.61 : x
  2. Step 2: Convert to fraction form
    9,693.81/14,541.93 = 4,763.61/x
  3. Step 3: Cross multiply
    9,693.81x = 14,541.93 × 4,763.61
  4. Step 4: Simplify right side
    9,693.81x = 69,272,083.17
  5. Step 5: Solve for x
    x = 69,272,083.17/9,693.81
  6. Step 6: Final answer
    x = 7,146.01

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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.