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Finding the Fourth Proportional to 9,700.12, 13,391.28 and 6,530.08

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Solution

The fourth proportional to 9,700.12, 13,391.28 and 6,530.08 is: 9,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.12 : 13,391.28 = 6,530.08 : x
  2. Step 2: Convert to fraction form
    9,700.12/13,391.28 = 6,530.08/x
  3. Step 3: Cross multiply
    9,700.12x = 13,391.28 × 6,530.08
  4. Step 4: Simplify right side
    9,700.12x = 87,446,129.70
  5. Step 5: Solve for x
    x = 87,446,129.70/9,700.12
  6. Step 6: Final answer
    x = 9,014.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.