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Finding the Fourth Proportional to 9,467.47, 13,056.25 and 7,482.77

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Solution

The fourth proportional to 9,467.47, 13,056.25 and 7,482.77 is: 10,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.47 : 13,056.25 = 7,482.77 : x
  2. Step 2: Convert to fraction form
    9,467.47/13,056.25 = 7,482.77/x
  3. Step 3: Cross multiply
    9,467.47x = 13,056.25 × 7,482.77
  4. Step 4: Simplify right side
    9,467.47x = 97,696,915.81
  5. Step 5: Solve for x
    x = 97,696,915.81/9,467.47
  6. Step 6: Final answer
    x = 10,319.22

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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.