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Finding the Fourth Proportional to 9,509.59, 14,263.17 and 4,314.25

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Solution

The fourth proportional to 9,509.59, 14,263.17 and 4,314.25 is: 6,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.59 : 14,263.17 = 4,314.25 : x
  2. Step 2: Convert to fraction form
    9,509.59/14,263.17 = 4,314.25/x
  3. Step 3: Cross multiply
    9,509.59x = 14,263.17 × 4,314.25
  4. Step 4: Simplify right side
    9,509.59x = 61,534,881.17
  5. Step 5: Solve for x
    x = 61,534,881.17/9,509.59
  6. Step 6: Final answer
    x = 6,470.82

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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.