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Finding the Fourth Proportional to 7,056.17, 9,782.10 and 6,681.67

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Solution

The fourth proportional to 7,056.17, 9,782.10 and 6,681.67 is: 9,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.17 : 9,782.10 = 6,681.67 : x
  2. Step 2: Convert to fraction form
    7,056.17/9,782.10 = 6,681.67/x
  3. Step 3: Cross multiply
    7,056.17x = 9,782.10 × 6,681.67
  4. Step 4: Simplify right side
    7,056.17x = 65,360,764.11
  5. Step 5: Solve for x
    x = 65,360,764.11/7,056.17
  6. Step 6: Final answer
    x = 9,262.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.