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Finding the Fourth Proportional to 9,088.51, 13,632.75 and 2,849.00

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Solution

The fourth proportional to 9,088.51, 13,632.75 and 2,849.00 is: 4,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.51 : 13,632.75 = 2,849.00 : x
  2. Step 2: Convert to fraction form
    9,088.51/13,632.75 = 2,849.00/x
  3. Step 3: Cross multiply
    9,088.51x = 13,632.75 × 2,849.00
  4. Step 4: Simplify right side
    9,088.51x = 38,839,731.71
  5. Step 5: Solve for x
    x = 38,839,731.71/9,088.51
  6. Step 6: Final answer
    x = 4,273.50

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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.