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Finding the Fourth Proportional to 9,076.25, 12,526.04 and 5,098.34

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Solution

The fourth proportional to 9,076.25, 12,526.04 and 5,098.34 is: 7,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.25 : 12,526.04 = 5,098.34 : x
  2. Step 2: Convert to fraction form
    9,076.25/12,526.04 = 5,098.34/x
  3. Step 3: Cross multiply
    9,076.25x = 12,526.04 × 5,098.34
  4. Step 4: Simplify right side
    9,076.25x = 63,862,054.83
  5. Step 5: Solve for x
    x = 63,862,054.83/9,076.25
  6. Step 6: Final answer
    x = 7,036.17

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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.