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Finding the Fourth Proportional to 9,710.10, 14,528.09 and 5,330.63

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Solution

The fourth proportional to 9,710.10, 14,528.09 and 5,330.63 is: 7,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.10 : 14,528.09 = 5,330.63 : x
  2. Step 2: Convert to fraction form
    9,710.10/14,528.09 = 5,330.63/x
  3. Step 3: Cross multiply
    9,710.10x = 14,528.09 × 5,330.63
  4. Step 4: Simplify right side
    9,710.10x = 77,443,922.04
  5. Step 5: Solve for x
    x = 77,443,922.04/9,710.10
  6. Step 6: Final answer
    x = 7,975.60

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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.