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Finding the Fourth Proportional to 10,335, 14,299.86 and 9,011.46

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Solution

The fourth proportional to 10,335, 14,299.86 and 9,011.46 is: 12,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335 : 14,299.86 = 9,011.46 : x
  2. Step 2: Convert to fraction form
    10,335/14,299.86 = 9,011.46/x
  3. Step 3: Cross multiply
    10,335x = 14,299.86 × 9,011.46
  4. Step 4: Simplify right side
    10,335x = 128,862,616.40
  5. Step 5: Solve for x
    x = 128,862,616.40/10,335
  6. Step 6: Final answer
    x = 12,468.56

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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.