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Finding the Fourth Proportional to 9,699.95, 14,551.85 and 6,710.58

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Solution

The fourth proportional to 9,699.95, 14,551.85 and 6,710.58 is: 10,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.95 : 14,551.85 = 6,710.58 : x
  2. Step 2: Convert to fraction form
    9,699.95/14,551.85 = 6,710.58/x
  3. Step 3: Cross multiply
    9,699.95x = 14,551.85 × 6,710.58
  4. Step 4: Simplify right side
    9,699.95x = 97,651,370.35
  5. Step 5: Solve for x
    x = 97,651,370.35/9,699.95
  6. Step 6: Final answer
    x = 10,067.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.