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Finding the Fourth Proportional to 10,329, 14,291.55 and 9,005.46

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Solution

The fourth proportional to 10,329, 14,291.55 and 9,005.46 is: 12,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329 : 14,291.55 = 9,005.46 : x
  2. Step 2: Convert to fraction form
    10,329/14,291.55 = 9,005.46/x
  3. Step 3: Cross multiply
    10,329x = 14,291.55 × 9,005.46
  4. Step 4: Simplify right side
    10,329x = 128,701,981.86
  5. Step 5: Solve for x
    x = 128,701,981.86/10,329
  6. Step 6: Final answer
    x = 12,460.26

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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.