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Finding the Fourth Proportional to 9,643.52, 14,461.58 and 4,645.02

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Solution

The fourth proportional to 9,643.52, 14,461.58 and 4,645.02 is: 6,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.52 : 14,461.58 = 4,645.02 : x
  2. Step 2: Convert to fraction form
    9,643.52/14,461.58 = 4,645.02/x
  3. Step 3: Cross multiply
    9,643.52x = 14,461.58 × 4,645.02
  4. Step 4: Simplify right side
    9,643.52x = 67,174,328.33
  5. Step 5: Solve for x
    x = 67,174,328.33/9,643.52
  6. Step 6: Final answer
    x = 6,965.75

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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.