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Finding the Fourth Proportional to 9,547.20, 14,328.90 and 4,290.30

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Solution

The fourth proportional to 9,547.20, 14,328.90 and 4,290.30 is: 6,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.20 : 14,328.90 = 4,290.30 : x
  2. Step 2: Convert to fraction form
    9,547.20/14,328.90 = 4,290.30/x
  3. Step 3: Cross multiply
    9,547.20x = 14,328.90 × 4,290.30
  4. Step 4: Simplify right side
    9,547.20x = 61,475,279.67
  5. Step 5: Solve for x
    x = 61,475,279.67/9,547.20
  6. Step 6: Final answer
    x = 6,439.09

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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.