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Finding the Fourth Proportional to 9,659.10, 14,492.70 and 7,215.13

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Solution

The fourth proportional to 9,659.10, 14,492.70 and 7,215.13 is: 10,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.10 : 14,492.70 = 7,215.13 : x
  2. Step 2: Convert to fraction form
    9,659.10/14,492.70 = 7,215.13/x
  3. Step 3: Cross multiply
    9,659.10x = 14,492.70 × 7,215.13
  4. Step 4: Simplify right side
    9,659.10x = 104,566,678.32
  5. Step 5: Solve for x
    x = 104,566,678.32/9,659.10
  6. Step 6: Final answer
    x = 10,825.72

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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.