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Finding the Fourth Proportional to 9,646.18, 14,475.02 and 4,308.94

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Solution

The fourth proportional to 9,646.18, 14,475.02 and 4,308.94 is: 6,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.18 : 14,475.02 = 4,308.94 : x
  2. Step 2: Convert to fraction form
    9,646.18/14,475.02 = 4,308.94/x
  3. Step 3: Cross multiply
    9,646.18x = 14,475.02 × 4,308.94
  4. Step 4: Simplify right side
    9,646.18x = 62,371,898.76
  5. Step 5: Solve for x
    x = 62,371,898.76/9,646.18
  6. Step 6: Final answer
    x = 6,465.97

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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.