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Finding the Fourth Proportional to 9,523.86, 13,156.62 and 7,607.16

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Solution

The fourth proportional to 9,523.86, 13,156.62 and 7,607.16 is: 10,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.86 : 13,156.62 = 7,607.16 : x
  2. Step 2: Convert to fraction form
    9,523.86/13,156.62 = 7,607.16/x
  3. Step 3: Cross multiply
    9,523.86x = 13,156.62 × 7,607.16
  4. Step 4: Simplify right side
    9,523.86x = 100,084,513.40
  5. Step 5: Solve for x
    x = 100,084,513.40/9,523.86
  6. Step 6: Final answer
    x = 10,508.82

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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.