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Finding the Fourth Proportional to 9,564.28, 14,348.85 and 4,368.94

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Solution

The fourth proportional to 9,564.28, 14,348.85 and 4,368.94 is: 6,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.28 : 14,348.85 = 4,368.94 : x
  2. Step 2: Convert to fraction form
    9,564.28/14,348.85 = 4,368.94/x
  3. Step 3: Cross multiply
    9,564.28x = 14,348.85 × 4,368.94
  4. Step 4: Simplify right side
    9,564.28x = 62,689,212.46
  5. Step 5: Solve for x
    x = 62,689,212.46/9,564.28
  6. Step 6: Final answer
    x = 6,554.52

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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.