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Finding the Fourth Proportional to 9,578, 14,371.86 and 4,385.18

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Solution

The fourth proportional to 9,578, 14,371.86 and 4,385.18 is: 6,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578 : 14,371.86 = 4,385.18 : x
  2. Step 2: Convert to fraction form
    9,578/14,371.86 = 4,385.18/x
  3. Step 3: Cross multiply
    9,578x = 14,371.86 × 4,385.18
  4. Step 4: Simplify right side
    9,578x = 63,023,193.03
  5. Step 5: Solve for x
    x = 63,023,193.03/9,578
  6. Step 6: Final answer
    x = 6,580.00

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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.