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Finding the Fourth Proportional to 34,534.36, 51,802.64 and 9,572.28

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Solution

The fourth proportional to 34,534.36, 51,802.64 and 9,572.28 is: 14,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.36 : 51,802.64 = 9,572.28 : x
  2. Step 2: Convert to fraction form
    34,534.36/51,802.64 = 9,572.28/x
  3. Step 3: Cross multiply
    34,534.36x = 51,802.64 × 9,572.28
  4. Step 4: Simplify right side
    34,534.36x = 495,869,374.82
  5. Step 5: Solve for x
    x = 495,869,374.82/34,534.36
  6. Step 6: Final answer
    x = 14,358.72

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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.