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Finding the Fourth Proportional to 9,701.95, 14,528.21 and 6,404.98

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Solution

The fourth proportional to 9,701.95, 14,528.21 and 6,404.98 is: 9,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.95 : 14,528.21 = 6,404.98 : x
  2. Step 2: Convert to fraction form
    9,701.95/14,528.21 = 6,404.98/x
  3. Step 3: Cross multiply
    9,701.95x = 14,528.21 × 6,404.98
  4. Step 4: Simplify right side
    9,701.95x = 93,052,826.14
  5. Step 5: Solve for x
    x = 93,052,826.14/9,701.95
  6. Step 6: Final answer
    x = 9,591.15

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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.