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Finding the Fourth Proportional to 9,547.84, 14,324 and 2,973.44

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Solution

The fourth proportional to 9,547.84, 14,324 and 2,973.44 is: 4,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.84 : 14,324 = 2,973.44 : x
  2. Step 2: Convert to fraction form
    9,547.84/14,324 = 2,973.44/x
  3. Step 3: Cross multiply
    9,547.84x = 14,324 × 2,973.44
  4. Step 4: Simplify right side
    9,547.84x = 42,591,554.56
  5. Step 5: Solve for x
    x = 42,591,554.56/9,547.84
  6. Step 6: Final answer
    x = 4,460.86

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Why These Related Problems?

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