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Finding the Fourth Proportional to 6,526.62, 9,787.50 and 2,365.47

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Solution

The fourth proportional to 6,526.62, 9,787.50 and 2,365.47 is: 3,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.62 : 9,787.50 = 2,365.47 : x
  2. Step 2: Convert to fraction form
    6,526.62/9,787.50 = 2,365.47/x
  3. Step 3: Cross multiply
    6,526.62x = 9,787.50 × 2,365.47
  4. Step 4: Simplify right side
    6,526.62x = 23,152,037.63
  5. Step 5: Solve for x
    x = 23,152,037.63/6,526.62
  6. Step 6: Final answer
    x = 3,547.32

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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.