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Finding the Fourth Proportional to 10,298.34, 14,125.59 and 9,928.98

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Solution

The fourth proportional to 10,298.34, 14,125.59 and 9,928.98 is: 13,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.34 : 14,125.59 = 9,928.98 : x
  2. Step 2: Convert to fraction form
    10,298.34/14,125.59 = 9,928.98/x
  3. Step 3: Cross multiply
    10,298.34x = 14,125.59 × 9,928.98
  4. Step 4: Simplify right side
    10,298.34x = 140,252,700.60
  5. Step 5: Solve for x
    x = 140,252,700.60/10,298.34
  6. Step 6: Final answer
    x = 13,618.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.