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Finding the Fourth Proportional to 9,842.66, 13,583.93 and 6,065.02

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Solution

The fourth proportional to 9,842.66, 13,583.93 and 6,065.02 is: 8,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.66 : 13,583.93 = 6,065.02 : x
  2. Step 2: Convert to fraction form
    9,842.66/13,583.93 = 6,065.02/x
  3. Step 3: Cross multiply
    9,842.66x = 13,583.93 × 6,065.02
  4. Step 4: Simplify right side
    9,842.66x = 82,386,807.13
  5. Step 5: Solve for x
    x = 82,386,807.13/9,842.66
  6. Step 6: Final answer
    x = 8,370.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.