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Finding the Fourth Proportional to 9,607.02, 13,256.55 and 5,834.94

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Solution

The fourth proportional to 9,607.02, 13,256.55 and 5,834.94 is: 8,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.02 : 13,256.55 = 5,834.94 : x
  2. Step 2: Convert to fraction form
    9,607.02/13,256.55 = 5,834.94/x
  3. Step 3: Cross multiply
    9,607.02x = 13,256.55 × 5,834.94
  4. Step 4: Simplify right side
    9,607.02x = 77,351,173.86
  5. Step 5: Solve for x
    x = 77,351,173.86/9,607.02
  6. Step 6: Final answer
    x = 8,051.53

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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.