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Finding the Fourth Proportional to 9,775.66, 14,656.80 and 4,707.18

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Solution

The fourth proportional to 9,775.66, 14,656.80 and 4,707.18 is: 7,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.66 : 14,656.80 = 4,707.18 : x
  2. Step 2: Convert to fraction form
    9,775.66/14,656.80 = 4,707.18/x
  3. Step 3: Cross multiply
    9,775.66x = 14,656.80 × 4,707.18
  4. Step 4: Simplify right side
    9,775.66x = 68,992,195.82
  5. Step 5: Solve for x
    x = 68,992,195.82/9,775.66
  6. Step 6: Final answer
    x = 7,057.55

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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.