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Finding the Fourth Proportional to 9,656.30, 14,484.72 and 3,415.43

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Solution

The fourth proportional to 9,656.30, 14,484.72 and 3,415.43 is: 5,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.30 : 14,484.72 = 3,415.43 : x
  2. Step 2: Convert to fraction form
    9,656.30/14,484.72 = 3,415.43/x
  3. Step 3: Cross multiply
    9,656.30x = 14,484.72 × 3,415.43
  4. Step 4: Simplify right side
    9,656.30x = 49,471,547.23
  5. Step 5: Solve for x
    x = 49,471,547.23/9,656.30
  6. Step 6: Final answer
    x = 5,123.24

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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.