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Finding the Fourth Proportional to 9,697.29, 13,368.15 and 7,708.65

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Solution

The fourth proportional to 9,697.29, 13,368.15 and 7,708.65 is: 10,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.29 : 13,368.15 = 7,708.65 : x
  2. Step 2: Convert to fraction form
    9,697.29/13,368.15 = 7,708.65/x
  3. Step 3: Cross multiply
    9,697.29x = 13,368.15 × 7,708.65
  4. Step 4: Simplify right side
    9,697.29x = 103,050,389.50
  5. Step 5: Solve for x
    x = 103,050,389.50/9,697.29
  6. Step 6: Final answer
    x = 10,626.72

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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.