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Finding the Fourth Proportional to 10,253.60, 14,119.44 and 9,509.35

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Solution

The fourth proportional to 10,253.60, 14,119.44 and 9,509.35 is: 13,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.60 : 14,119.44 = 9,509.35 : x
  2. Step 2: Convert to fraction form
    10,253.60/14,119.44 = 9,509.35/x
  3. Step 3: Cross multiply
    10,253.60x = 14,119.44 × 9,509.35
  4. Step 4: Simplify right side
    10,253.60x = 134,266,696.76
  5. Step 5: Solve for x
    x = 134,266,696.76/10,253.60
  6. Step 6: Final answer
    x = 13,094.59

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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.