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Finding the Fourth Proportional to 9,312.41, 13,948.54 and 4,374.65

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Solution

The fourth proportional to 9,312.41, 13,948.54 and 4,374.65 is: 6,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.41 : 13,948.54 = 4,374.65 : x
  2. Step 2: Convert to fraction form
    9,312.41/13,948.54 = 4,374.65/x
  3. Step 3: Cross multiply
    9,312.41x = 13,948.54 × 4,374.65
  4. Step 4: Simplify right side
    9,312.41x = 61,019,980.51
  5. Step 5: Solve for x
    x = 61,019,980.51/9,312.41
  6. Step 6: Final answer
    x = 6,552.54

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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.