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Finding the Fourth Proportional to 9,533.69, 14,300.99 and 4,607.47

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Solution

The fourth proportional to 9,533.69, 14,300.99 and 4,607.47 is: 6,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.69 : 14,300.99 = 4,607.47 : x
  2. Step 2: Convert to fraction form
    9,533.69/14,300.99 = 4,607.47/x
  3. Step 3: Cross multiply
    9,533.69x = 14,300.99 × 4,607.47
  4. Step 4: Simplify right side
    9,533.69x = 65,891,382.40
  5. Step 5: Solve for x
    x = 65,891,382.40/9,533.69
  6. Step 6: Final answer
    x = 6,911.42

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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.