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Finding the Fourth Proportional to 9,673.06, 14,484.93 and 6,376.15

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Solution

The fourth proportional to 9,673.06, 14,484.93 and 6,376.15 is: 9,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.06 : 14,484.93 = 6,376.15 : x
  2. Step 2: Convert to fraction form
    9,673.06/14,484.93 = 6,376.15/x
  3. Step 3: Cross multiply
    9,673.06x = 14,484.93 × 6,376.15
  4. Step 4: Simplify right side
    9,673.06x = 92,358,086.42
  5. Step 5: Solve for x
    x = 92,358,086.42/9,673.06
  6. Step 6: Final answer
    x = 9,547.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.