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Finding the Fourth Proportional to 9,154.84, 12,637.98 and 5,844.76

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Solution

The fourth proportional to 9,154.84, 12,637.98 and 5,844.76 is: 8,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.84 : 12,637.98 = 5,844.76 : x
  2. Step 2: Convert to fraction form
    9,154.84/12,637.98 = 5,844.76/x
  3. Step 3: Cross multiply
    9,154.84x = 12,637.98 × 5,844.76
  4. Step 4: Simplify right side
    9,154.84x = 73,865,959.98
  5. Step 5: Solve for x
    x = 73,865,959.98/9,154.84
  6. Step 6: Final answer
    x = 8,068.51

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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.