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Finding the Fourth Proportional to 9,533.84, 14,293.08 and 4,065.68

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Solution

The fourth proportional to 9,533.84, 14,293.08 and 4,065.68 is: 6,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 14,293.08 = 4,065.68 : x
  2. Step 2: Convert to fraction form
    9,533.84/14,293.08 = 4,065.68/x
  3. Step 3: Cross multiply
    9,533.84x = 14,293.08 × 4,065.68
  4. Step 4: Simplify right side
    9,533.84x = 58,111,089.49
  5. Step 5: Solve for x
    x = 58,111,089.49/9,533.84
  6. Step 6: Final answer
    x = 6,095.24

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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.