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Finding the Fourth Proportional to 9,147.47, 12,632.48 and 7,813.40

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Solution

The fourth proportional to 9,147.47, 12,632.48 and 7,813.40 is: 10,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.47 : 12,632.48 = 7,813.40 : x
  2. Step 2: Convert to fraction form
    9,147.47/12,632.48 = 7,813.40/x
  3. Step 3: Cross multiply
    9,147.47x = 12,632.48 × 7,813.40
  4. Step 4: Simplify right side
    9,147.47x = 98,702,670.35
  5. Step 5: Solve for x
    x = 98,702,670.35/9,147.47
  6. Step 6: Final answer
    x = 10,790.16

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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.