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Finding the Fourth Proportional to 9,065.49, 13,585.47 and 7,208.36

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Solution

The fourth proportional to 9,065.49, 13,585.47 and 7,208.36 is: 10,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.49 : 13,585.47 = 7,208.36 : x
  2. Step 2: Convert to fraction form
    9,065.49/13,585.47 = 7,208.36/x
  3. Step 3: Cross multiply
    9,065.49x = 13,585.47 × 7,208.36
  4. Step 4: Simplify right side
    9,065.49x = 97,928,914.52
  5. Step 5: Solve for x
    x = 97,928,914.52/9,065.49
  6. Step 6: Final answer
    x = 10,802.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.