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Finding the Fourth Proportional to 9,354.84, 12,925.50 and 7,239

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Solution

The fourth proportional to 9,354.84, 12,925.50 and 7,239 is: 10,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.84 : 12,925.50 = 7,239 : x
  2. Step 2: Convert to fraction form
    9,354.84/12,925.50 = 7,239/x
  3. Step 3: Cross multiply
    9,354.84x = 12,925.50 × 7,239
  4. Step 4: Simplify right side
    9,354.84x = 93,567,694.50
  5. Step 5: Solve for x
    x = 93,567,694.50/9,354.84
  6. Step 6: Final answer
    x = 10,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.