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Finding the Fourth Proportional to 9,069.31, 13,602.59 and 3,065.31

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Solution

The fourth proportional to 9,069.31, 13,602.59 and 3,065.31 is: 4,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.31 : 13,602.59 = 3,065.31 : x
  2. Step 2: Convert to fraction form
    9,069.31/13,602.59 = 3,065.31/x
  3. Step 3: Cross multiply
    9,069.31x = 13,602.59 × 3,065.31
  4. Step 4: Simplify right side
    9,069.31x = 41,696,151.32
  5. Step 5: Solve for x
    x = 41,696,151.32/9,069.31
  6. Step 6: Final answer
    x = 4,597.50

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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.