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Finding the Fourth Proportional to 7,038.90, 9,714.51 and 4,054.86

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Solution

The fourth proportional to 7,038.90, 9,714.51 and 4,054.86 is: 5,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.90 : 9,714.51 = 4,054.86 : x
  2. Step 2: Convert to fraction form
    7,038.90/9,714.51 = 4,054.86/x
  3. Step 3: Cross multiply
    7,038.90x = 9,714.51 × 4,054.86
  4. Step 4: Simplify right side
    7,038.90x = 39,390,978.02
  5. Step 5: Solve for x
    x = 39,390,978.02/7,038.90
  6. Step 6: Final answer
    x = 5,596.18

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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.