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Finding the Fourth Proportional to 9,572.58, 14,321.91 and 9,547.98

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Solution

The fourth proportional to 9,572.58, 14,321.91 and 9,547.98 is: 14,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.58 : 14,321.91 = 9,547.98 : x
  2. Step 2: Convert to fraction form
    9,572.58/14,321.91 = 9,547.98/x
  3. Step 3: Cross multiply
    9,572.58x = 14,321.91 × 9,547.98
  4. Step 4: Simplify right side
    9,572.58x = 136,745,310.24
  5. Step 5: Solve for x
    x = 136,745,310.24/9,572.58
  6. Step 6: Final answer
    x = 14,285.10

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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.