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Finding the Fourth Proportional to 6,488.95, 9,735.68 and 2,047.30

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Solution

The fourth proportional to 6,488.95, 9,735.68 and 2,047.30 is: 3,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.95 : 9,735.68 = 2,047.30 : x
  2. Step 2: Convert to fraction form
    6,488.95/9,735.68 = 2,047.30/x
  3. Step 3: Cross multiply
    6,488.95x = 9,735.68 × 2,047.30
  4. Step 4: Simplify right side
    6,488.95x = 19,931,877.93
  5. Step 5: Solve for x
    x = 19,931,877.93/6,488.95
  6. Step 6: Final answer
    x = 3,071.66

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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.