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Finding the Fourth Proportional to 9,776.95, 13,487.23 and 6,185.88

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Solution

The fourth proportional to 9,776.95, 13,487.23 and 6,185.88 is: 8,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.95 : 13,487.23 = 6,185.88 : x
  2. Step 2: Convert to fraction form
    9,776.95/13,487.23 = 6,185.88/x
  3. Step 3: Cross multiply
    9,776.95x = 13,487.23 × 6,185.88
  4. Step 4: Simplify right side
    9,776.95x = 83,430,386.31
  5. Step 5: Solve for x
    x = 83,430,386.31/9,776.95
  6. Step 6: Final answer
    x = 8,533.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.