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Finding the Fourth Proportional to 9,901.97, 13,653.52 and 6,312.14

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Solution

The fourth proportional to 9,901.97, 13,653.52 and 6,312.14 is: 8,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.97 : 13,653.52 = 6,312.14 : x
  2. Step 2: Convert to fraction form
    9,901.97/13,653.52 = 6,312.14/x
  3. Step 3: Cross multiply
    9,901.97x = 13,653.52 × 6,312.14
  4. Step 4: Simplify right side
    9,901.97x = 86,182,845.68
  5. Step 5: Solve for x
    x = 86,182,845.68/9,901.97
  6. Step 6: Final answer
    x = 8,703.61

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