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Finding the Fourth Proportional to 9,563.84, 14,358.24 and 7,374.08

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Solution

The fourth proportional to 9,563.84, 14,358.24 and 7,374.08 is: 11,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.84 : 14,358.24 = 7,374.08 : x
  2. Step 2: Convert to fraction form
    9,563.84/14,358.24 = 7,374.08/x
  3. Step 3: Cross multiply
    9,563.84x = 14,358.24 × 7,374.08
  4. Step 4: Simplify right side
    9,563.84x = 105,878,810.42
  5. Step 5: Solve for x
    x = 105,878,810.42/9,563.84
  6. Step 6: Final answer
    x = 11,070.74

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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.