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Finding the Fourth Proportional to 9,547.60, 14,327 and 4,000.52

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Solution

The fourth proportional to 9,547.60, 14,327 and 4,000.52 is: 6,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.60 : 14,327 = 4,000.52 : x
  2. Step 2: Convert to fraction form
    9,547.60/14,327 = 4,000.52/x
  3. Step 3: Cross multiply
    9,547.60x = 14,327 × 4,000.52
  4. Step 4: Simplify right side
    9,547.60x = 57,315,450.04
  5. Step 5: Solve for x
    x = 57,315,450.04/9,547.60
  6. Step 6: Final answer
    x = 6,003.13

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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.