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Finding the Fourth Proportional to 9,719.98, 13,417.64 and 6,577.99

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Solution

The fourth proportional to 9,719.98, 13,417.64 and 6,577.99 is: 9,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.98 : 13,417.64 = 6,577.99 : x
  2. Step 2: Convert to fraction form
    9,719.98/13,417.64 = 6,577.99/x
  3. Step 3: Cross multiply
    9,719.98x = 13,417.64 × 6,577.99
  4. Step 4: Simplify right side
    9,719.98x = 88,261,101.74
  5. Step 5: Solve for x
    x = 88,261,101.74/9,719.98
  6. Step 6: Final answer
    x = 9,080.38

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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.