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Finding the Fourth Proportional to 9,646.16, 14,470.28 and 3,070.81

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Solution

The fourth proportional to 9,646.16, 14,470.28 and 3,070.81 is: 4,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.16 : 14,470.28 = 3,070.81 : x
  2. Step 2: Convert to fraction form
    9,646.16/14,470.28 = 3,070.81/x
  3. Step 3: Cross multiply
    9,646.16x = 14,470.28 × 3,070.81
  4. Step 4: Simplify right side
    9,646.16x = 44,435,488.20
  5. Step 5: Solve for x
    x = 44,435,488.20/9,646.16
  6. Step 6: Final answer
    x = 4,606.55

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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.