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Finding the Fourth Proportional to 9,707.40, 14,538.24 and 6,412.32

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Solution

The fourth proportional to 9,707.40, 14,538.24 and 6,412.32 is: 9,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.40 : 14,538.24 = 6,412.32 : x
  2. Step 2: Convert to fraction form
    9,707.40/14,538.24 = 6,412.32/x
  3. Step 3: Cross multiply
    9,707.40x = 14,538.24 × 6,412.32
  4. Step 4: Simplify right side
    9,707.40x = 93,223,847.12
  5. Step 5: Solve for x
    x = 93,223,847.12/9,707.40
  6. Step 6: Final answer
    x = 9,603.38

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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.