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Finding the Fourth Proportional to 9,146.16, 12,621.76 and 5,368.48

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Solution

The fourth proportional to 9,146.16, 12,621.76 and 5,368.48 is: 7,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.16 : 12,621.76 = 5,368.48 : x
  2. Step 2: Convert to fraction form
    9,146.16/12,621.76 = 5,368.48/x
  3. Step 3: Cross multiply
    9,146.16x = 12,621.76 × 5,368.48
  4. Step 4: Simplify right side
    9,146.16x = 67,759,666.12
  5. Step 5: Solve for x
    x = 67,759,666.12/9,146.16
  6. Step 6: Final answer
    x = 7,408.54

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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.