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Finding the Fourth Proportional to 9,774.46, 14,658.03 and 3,929.08

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Solution

The fourth proportional to 9,774.46, 14,658.03 and 3,929.08 is: 5,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.46 : 14,658.03 = 3,929.08 : x
  2. Step 2: Convert to fraction form
    9,774.46/14,658.03 = 3,929.08/x
  3. Step 3: Cross multiply
    9,774.46x = 14,658.03 × 3,929.08
  4. Step 4: Simplify right side
    9,774.46x = 57,592,572.51
  5. Step 5: Solve for x
    x = 57,592,572.51/9,774.46
  6. Step 6: Final answer
    x = 5,892.15

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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.