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Finding the Fourth Proportional to 9,148.32, 12,624.78 and 5,169.48

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Solution

The fourth proportional to 9,148.32, 12,624.78 and 5,169.48 is: 7,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.32 : 12,624.78 = 5,169.48 : x
  2. Step 2: Convert to fraction form
    9,148.32/12,624.78 = 5,169.48/x
  3. Step 3: Cross multiply
    9,148.32x = 12,624.78 × 5,169.48
  4. Step 4: Simplify right side
    9,148.32x = 65,263,547.71
  5. Step 5: Solve for x
    x = 65,263,547.71/9,148.32
  6. Step 6: Final answer
    x = 7,133.94

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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.