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Finding the Fourth Proportional to 9,547.70, 14,329.65 and 4,290.80

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Solution

The fourth proportional to 9,547.70, 14,329.65 and 4,290.80 is: 6,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.70 : 14,329.65 = 4,290.80 : x
  2. Step 2: Convert to fraction form
    9,547.70/14,329.65 = 4,290.80/x
  3. Step 3: Cross multiply
    9,547.70x = 14,329.65 × 4,290.80
  4. Step 4: Simplify right side
    9,547.70x = 61,485,662.22
  5. Step 5: Solve for x
    x = 61,485,662.22/9,547.70
  6. Step 6: Final answer
    x = 6,439.84

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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.