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Finding the Fourth Proportional to 9,709.04, 14,538.85 and 6,417.20

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Solution

The fourth proportional to 9,709.04, 14,538.85 and 6,417.20 is: 9,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.04 : 14,538.85 = 6,417.20 : x
  2. Step 2: Convert to fraction form
    9,709.04/14,538.85 = 6,417.20/x
  3. Step 3: Cross multiply
    9,709.04x = 14,538.85 × 6,417.20
  4. Step 4: Simplify right side
    9,709.04x = 93,298,708.22
  5. Step 5: Solve for x
    x = 93,298,708.22/9,709.04
  6. Step 6: Final answer
    x = 9,609.47

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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.