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Finding the Fourth Proportional to 10,354.08, 15,460.56 and 9,769.32

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Solution

The fourth proportional to 10,354.08, 15,460.56 and 9,769.32 is: 14,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.08 : 15,460.56 = 9,769.32 : x
  2. Step 2: Convert to fraction form
    10,354.08/15,460.56 = 9,769.32/x
  3. Step 3: Cross multiply
    10,354.08x = 15,460.56 × 9,769.32
  4. Step 4: Simplify right side
    10,354.08x = 151,039,158.02
  5. Step 5: Solve for x
    x = 151,039,158.02/10,354.08
  6. Step 6: Final answer
    x = 14,587.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.