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Finding the Fourth Proportional to 9,656.16, 14,472.88 and 4,107.84

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Solution

The fourth proportional to 9,656.16, 14,472.88 and 4,107.84 is: 6,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.16 : 14,472.88 = 4,107.84 : x
  2. Step 2: Convert to fraction form
    9,656.16/14,472.88 = 4,107.84/x
  3. Step 3: Cross multiply
    9,656.16x = 14,472.88 × 4,107.84
  4. Step 4: Simplify right side
    9,656.16x = 59,452,275.38
  5. Step 5: Solve for x
    x = 59,452,275.38/9,656.16
  6. Step 6: Final answer
    x = 6,156.93

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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.