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Finding the Fourth Proportional to 9,384.71, 14,077.06 and 2,364.76

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Solution

The fourth proportional to 9,384.71, 14,077.06 and 2,364.76 is: 3,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.71 : 14,077.06 = 2,364.76 : x
  2. Step 2: Convert to fraction form
    9,384.71/14,077.06 = 2,364.76/x
  3. Step 3: Cross multiply
    9,384.71x = 14,077.06 × 2,364.76
  4. Step 4: Simplify right side
    9,384.71x = 33,288,880.09
  5. Step 5: Solve for x
    x = 33,288,880.09/9,384.71
  6. Step 6: Final answer
    x = 3,547.14

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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.