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Finding the Fourth Proportional to 9,607.12, 14,411.42 and 3,686.84

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Solution

The fourth proportional to 9,607.12, 14,411.42 and 3,686.84 is: 5,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.12 : 14,411.42 = 3,686.84 : x
  2. Step 2: Convert to fraction form
    9,607.12/14,411.42 = 3,686.84/x
  3. Step 3: Cross multiply
    9,607.12x = 14,411.42 × 3,686.84
  4. Step 4: Simplify right side
    9,607.12x = 53,132,599.71
  5. Step 5: Solve for x
    x = 53,132,599.71/9,607.12
  6. Step 6: Final answer
    x = 5,530.54

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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.