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Finding the Fourth Proportional to 28,362.25, 42,547.98 and 9,643.96

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Solution

The fourth proportional to 28,362.25, 42,547.98 and 9,643.96 is: 14,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,362.25 : 42,547.98 = 9,643.96 : x
  2. Step 2: Convert to fraction form
    28,362.25/42,547.98 = 9,643.96/x
  3. Step 3: Cross multiply
    28,362.25x = 42,547.98 × 9,643.96
  4. Step 4: Simplify right side
    28,362.25x = 410,331,017.20
  5. Step 5: Solve for x
    x = 410,331,017.20/28,362.25
  6. Step 6: Final answer
    x = 14,467.51

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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.