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Finding the Fourth Proportional to 9,187.42, 12,684.72 and 7,059.15

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Solution

The fourth proportional to 9,187.42, 12,684.72 and 7,059.15 is: 9,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.42 : 12,684.72 = 7,059.15 : x
  2. Step 2: Convert to fraction form
    9,187.42/12,684.72 = 7,059.15/x
  3. Step 3: Cross multiply
    9,187.42x = 12,684.72 × 7,059.15
  4. Step 4: Simplify right side
    9,187.42x = 89,543,341.19
  5. Step 5: Solve for x
    x = 89,543,341.19/9,187.42
  6. Step 6: Final answer
    x = 9,746.30

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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.