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Finding the Fourth Proportional to 10,509.32, 14,508.80 and 6,977.36

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Solution

The fourth proportional to 10,509.32, 14,508.80 and 6,977.36 is: 9,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.32 : 14,508.80 = 6,977.36 : x
  2. Step 2: Convert to fraction form
    10,509.32/14,508.80 = 6,977.36/x
  3. Step 3: Cross multiply
    10,509.32x = 14,508.80 × 6,977.36
  4. Step 4: Simplify right side
    10,509.32x = 101,233,013.34
  5. Step 5: Solve for x
    x = 101,233,013.34/10,509.32
  6. Step 6: Final answer
    x = 9,632.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.