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Finding the Fourth Proportional to 9,074.16, 12,516.12 and 7,582.14

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Solution

The fourth proportional to 9,074.16, 12,516.12 and 7,582.14 is: 10,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.16 : 12,516.12 = 7,582.14 : x
  2. Step 2: Convert to fraction form
    9,074.16/12,516.12 = 7,582.14/x
  3. Step 3: Cross multiply
    9,074.16x = 12,516.12 × 7,582.14
  4. Step 4: Simplify right side
    9,074.16x = 94,898,974.10
  5. Step 5: Solve for x
    x = 94,898,974.10/9,074.16
  6. Step 6: Final answer
    x = 10,458.16

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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.