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Finding the Fourth Proportional to 9,365.02, 14,038.18 and 5,206.88

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Solution

The fourth proportional to 9,365.02, 14,038.18 and 5,206.88 is: 7,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.02 : 14,038.18 = 5,206.88 : x
  2. Step 2: Convert to fraction form
    9,365.02/14,038.18 = 5,206.88/x
  3. Step 3: Cross multiply
    9,365.02x = 14,038.18 × 5,206.88
  4. Step 4: Simplify right side
    9,365.02x = 73,095,140.76
  5. Step 5: Solve for x
    x = 73,095,140.76/9,365.02
  6. Step 6: Final answer
    x = 7,805.13

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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.