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Finding the Fourth Proportional to 9,566.16, 14,339 and 6,821.84

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Solution

The fourth proportional to 9,566.16, 14,339 and 6,821.84 is: 10,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.16 : 14,339 = 6,821.84 : x
  2. Step 2: Convert to fraction form
    9,566.16/14,339 = 6,821.84/x
  3. Step 3: Cross multiply
    9,566.16x = 14,339 × 6,821.84
  4. Step 4: Simplify right side
    9,566.16x = 97,818,363.76
  5. Step 5: Solve for x
    x = 97,818,363.76/9,566.16
  6. Step 6: Final answer
    x = 10,225.46

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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.