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Finding the Fourth Proportional to 9,312, 13,967.88 and 4,378.20

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Solution

The fourth proportional to 9,312, 13,967.88 and 4,378.20 is: 6,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 13,967.88 = 4,378.20 : x
  2. Step 2: Convert to fraction form
    9,312/13,967.88 = 4,378.20/x
  3. Step 3: Cross multiply
    9,312x = 13,967.88 × 4,378.20
  4. Step 4: Simplify right side
    9,312x = 61,154,172.22
  5. Step 5: Solve for x
    x = 61,154,172.22/9,312
  6. Step 6: Final answer
    x = 6,567.24

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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.