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Finding the Fourth Proportional to 9,509.48, 14,264.16 and 5,129

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Solution

The fourth proportional to 9,509.48, 14,264.16 and 5,129 is: 7,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.48 : 14,264.16 = 5,129 : x
  2. Step 2: Convert to fraction form
    9,509.48/14,264.16 = 5,129/x
  3. Step 3: Cross multiply
    9,509.48x = 14,264.16 × 5,129
  4. Step 4: Simplify right side
    9,509.48x = 73,160,876.64
  5. Step 5: Solve for x
    x = 73,160,876.64/9,509.48
  6. Step 6: Final answer
    x = 7,693.47

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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.