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Finding the Fourth Proportional to 10,754.94, 14,854.38 and 9,809.08

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Solution

The fourth proportional to 10,754.94, 14,854.38 and 9,809.08 is: 13,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.94 : 14,854.38 = 9,809.08 : x
  2. Step 2: Convert to fraction form
    10,754.94/14,854.38 = 9,809.08/x
  3. Step 3: Cross multiply
    10,754.94x = 14,854.38 × 9,809.08
  4. Step 4: Simplify right side
    10,754.94x = 145,707,801.77
  5. Step 5: Solve for x
    x = 145,707,801.77/10,754.94
  6. Step 6: Final answer
    x = 13,547.99

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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.