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Finding the Fourth Proportional to 9,146.91, 12,622.79 and 4,955.16

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Solution

The fourth proportional to 9,146.91, 12,622.79 and 4,955.16 is: 6,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.91 : 12,622.79 = 4,955.16 : x
  2. Step 2: Convert to fraction form
    9,146.91/12,622.79 = 4,955.16/x
  3. Step 3: Cross multiply
    9,146.91x = 12,622.79 × 4,955.16
  4. Step 4: Simplify right side
    9,146.91x = 62,547,919.32
  5. Step 5: Solve for x
    x = 62,547,919.32/9,146.91
  6. Step 6: Final answer
    x = 6,838.15

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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.